Monday, May 08, 2023

Pacing and Time Management

Maintenance of a steady, productive pace and effective management of limited time are keys to unlocking optimal performance on the SAT/ACT. Getting stuck, spending far too much time on a small number of crazy-hard problems, can destroy test results. So can mindless rushing. These twin evils, once discovered, must be quickly and thoroughly exorcised. 

Fortunately, bad testing habits like these can be uprooted and replaced with better ones.

Getting hung up on annoying, difficult questions for long periods of time makes several things happen, all of which are bad for SAT/ACT math scores. Having wasted valuable minutes, you’re now behind the clock and feel an even greater need to rush. The added time pressure also increases stress. Realizing those sticky questions were too hard, and that you probably answered them all incorrectly despite the extra time and effort spent on them, you’re in a bad mood. All this is quite distracting and makes it hard to be energetic, creative, and attentive. Things spiral downward, and you feel you have no choice but to rush even more and nail every question. Which only makes things worse.

Getting stuck and rushing originate in the false belief that one must answer every SAT/ACT math question correctly to earn a high score (“finish the test” at all costs), and that slowing down when necessary is an unaffordable luxury.

This may well be true for tests in class. But on the SAT/ACT, nothing could be further from the truth. Students taking the SAT/ACT math test can safely make many more mistakes than would ordinarily be the case.

The scoring tool on a recent ACT showed students could make 20 errors out of 60 questions to earn an ACT Math 27 (90th percentile), 15 errors for an ACT Math 29 (95th percentile), 10 errors for ACT Math 32 (97th percentile), or seven errors for an ACT Math 34 (99th percentile). In most classes, a score of 90, 10% wrong answers, is an A-, a very respectable grade. On the ACT, however, an identical “grade” is granted even when answering 33% of the questions incorrectly! The same is roughly true on the SAT.

[Note: Since each question has four answer choices, blind guesses are right 1/4 of the time. Guessing on 20 out of 60 questions on the ACT math test would likely earn 5 extra points, which should cancel out any mistakes made on the other 40 (easier) questions. Impossible as it sounds, a student only needs to work on the 2/3 of the questions on the ACT math section, avoiding all the hardest questions, to earn a 90th percentile score.]

In the end, effective time management on the SAT/ACT boils down to not getting stuck. To avoid falling victim, “skip-guess” any difficult question on your first pass through the test, answer it with a random guess, flag the question for later review, and quickly move on to the next problem.

By skip-guessing all the hard problems and working only on relatively easy ones, you’re sure to reach the end of the test super early. With loads of extra time and energy, you can then evaluate how best to spend your remaining minutes. You can calmly and rationally “choose your battles,” deciding which of the harder, flagged questions to come back to on your second pass and the order in which to work on them, slowing down and spending more time on each question to help avoid careless mistakes and ensure success. Knowing you can safely lose a large number of points and still earn a great score, impossibly difficult “nightmare” questions can be safely ignored during your second pass.

Much more time. Much less stress. Far fewer careless errors. No discouragement, headache, or heartache from trying (and failing) to answer crazy-hard questions in a rush. Do you think your score would likely improve under such circumstances?

By employing these three simple strategies – Skip-Guessing, the Two-Pass Approach, and Choosing Your Battles – students routinely cut errors in half. Virtually overnight, an ACT Math 27 (20 errors, 90th percentile) can turn into an ACT Math 32 (10 errors, 97th percentile). That’s an entirely different college! No new math to learn. No additional practice work. All that’s required is the adoption of a new, more comfortable, vastly improved general approach to the SAT/ACT math test.

Following are two additional pacing strategies offering concrete help in the fight to avoid getting stuck.

The 10-Second Skip

It’s crucial to decide quickly whether to work on a given problem during your first pass through the test or skip-guess the question for possible review later on. This is where getting stuck often happens. The rule is: give yourself only 10 seconds to decide. When in doubt, skip-guess the problem.

The 20-Second Skip

Getting stuck can also happen in the middle of a difficult question as one bargains with oneself for “just a little more time.” A “little more time” can easily turn into several wasted minutes. This is bad. Here’s the rule: Anytime you stop making progress on a problem for 20 seconds, skip-guess the question.

WARNING: If you find yourself finishing early without skip-guessing a large number of questions, you’re rushing. To improve your score, you must skip-guess a lot more problems, and slow down a bit. As you see your practice test scores dramatically improve, you’ll be convinced and converted to this new approach.

Going too fast can be just as bad as going too slow. Slowing down slightly doesn’t cost you points! It actually helps you move faster and more successfully than before, since you won’t waste loads of time and energy to needless confusion and stress, nor will you lose nearly as many points to carelessness. Don’t go slow as a snail, of course! It’s best to drive in the middle lane of the freeway. Not too fast, not too slow.

Whatever you do ... don’t get stuck! 

Remember that, working carefully to avoid pitfalls, there’s really no need to rush. Let go of false assumptions and unnecessary, uninformed expectations about having to perform perfectly. Your test-taking experience will improve, and so will your SAT/ACT math score.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, May 01, 2023

Cracking BlueBook Second Modules

With only six available official digital adaptive SATs and PSATs, it’s critical that students get access to all questions contained in the “second modules” of each section of each test in the BlueBook app. 

There’s no way to do so directly, but an easy workaround gets the job done: 

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1. After completing your practice test, save the answer page.  

2. Retake the same practice test. 

3. To access the harder second module, enter only correct answers when you retake the test; to access the easier module, enter only incorrect answers. 

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Click here to view and download (File > Download) correct answers to first modules from BlueBook SAT Tests 1, 2, 3, and 4.
 
You may also want to screenshot important questions as you practice (hardest problems, any you’ve answered wrongly, etc.) and keep these in a folder for further study.

These few official tests are best used sparingly to assess progress in your prep work or as “dress rehearsals” before test dates.

They're the only ones you’ve got. Don’t waste them!

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, April 08, 2023

Quadratic Functions – What You Need to Know

Most intermediate-advanced algebra courses cover second degree polynomial functions, called “quadratic functions,” long before introducing general polynomial functions.
 
Because quadratic functions are simpler versions of general polynomial functions, graph as parabolic curves, and are featured in many real-world situations, this subtopic holds a prominent place in the syllabus.

Following is a list of concepts you should firmly understand before taking the SAT/ACT.

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[Note: “iff” means “if and only if.”]

Definition
Quadratic functions: functions involving one first-degree variable and one second degree variable (typically y^1 and x^2).

Quadratic Function Standard Form
y = ax^2+bx+c.

Parabola
Vertex = (h,k) with h = -b/2a, k = f(h).
Axis: x = h.
y-intercept = c.

Vertex Form
y = a(x–h)^2+k.
Vertex = (h,k).
Radius = r.

Discriminant
D = sqrt(b^2–4ac).
D > 0 iff 2 real solutions.
D = 0 iff 1 real solution.
D < 0 iff no solutions.

Sum and Product Formula
x^2–(sum)x+(prod) = 0.

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For practice, search Google for worksheets covering any or all of the above, pick a worksheet that provides answers, complete the worksheet, analyze any mistakes, and redo it until you can complete that worksheet with no errors. Then repeat, with additional worksheets, as needed, until you’ve mastered this important material.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, April 01, 2023

Factfulness

Despite rumors to the contrary, things aren't so bad. They're probably quite a bit better than you think. That's the thesis of this book by Swedish author and public health expert Hans Rosling.

From the book's description on amazon:

"It turns out that the world, for all its imperfections, is in a much better state than we might think. That doesn’t mean there aren’t real concerns. But when we worry about everything all the time instead of embracing a worldview based on facts, we can lose our ability to focus on the things that threaten us most.

"Inspiring and revelatory, filled with lively anecdotes and moving stories, Factfulness is an urgent and essential book that will change the way you see the world and empower you to respond to the crises and opportunities of the future."

Here's what Bill Gates had to say about Factfulness:

“One of the most important books I’ve ever read―an indispensable guide to thinking clearly about the world.”

And Barack Obama:

"Factfulness by Hans Rosling, an outstanding international public health expert, is a hopeful book about the potential for human progress when we work off facts rather than our inherent biases."

Rosling isn't a Pollyanna who refuses to acknowledge the very real problems and challenges humanity still faces. His point is that, if we actually follow the facts – instead of persistent, unconscious biases – there's much more reason to be proud and hopeful than we might ordinarily believe.

I enjoyed Factfulness, and highly recommend it to all with an interest in the state of the world.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, March 08, 2023

Winning Focus

Test taking is a competitive activity. 

As is athletics or the performing arts, outstanding achievement on the SAT/ACT depends on maintenance of powerfully sharp, energetic, mindful concentration and “winning focus.” 

In sports, the challenge is the opposing team. In the performing arts, it’s stage fright. In test taking, your adversaries are the test questions. 

Test takers, like athletes and stage performers, need to confront and conquer pressure, stress, fatigue, distractions, and other difficulties with sustained enthusiasm, relentless drive, and total commitment to success. If victory is the object, nothing less will do.

An intense, aggressive, yet controlled state of concentration is critical to performing at one’s best in any competitive activity. “Winning Focus” is so important, in fact, that without it, almost nothing else matters.

By definition, intensity always involves some amount of tension. Undisciplined, raw intensity can lead to varying degrees of frustration, anxiety, and even exhaustion. Athletes, performers, and test takers must learn to thread the needle between two extremes, remaining fully responsive and focused on winning without getting rattled or falling victim to tenseness, tiredness, or negative emotion.

When intelligence is inhibited by inattention, distraction, tiredness, or emotional upset, reduced cognitive bandwidth causes a mental traffic jam, disrupting the efficient flow of ideas.

On the other hand, Winning Focus lights up the brain like a Christmas tree. All kinds of connections, insights, and creative solutions come to mind that would otherwise go unnoticed. Most important of all, careless mistakes are minimized.

Fully half the errors on a typical student's SAT/ACT math test are due to carelessness. If these careless errors were reduced by half, a student scoring 650 on an SAT math section would instead score 720, and one scoring 27 on the ACT would score 31!

These dramatic improvements require neither new math smarts, nor improved testing acumen, nor additional practice – just a 50% cutback in careless mistakes. In fact, math test prep could be restricted entirely to development of Winning Focus, and most students would be well served.

The vast majority of test coaches pay no significant attention to the mental game of test taking. In my work, Winning Focus takes center stage. Using proprietary methods and materials, a natural knack for inspiring and igniting motivation, and a unique ability to train all aspects of effective test prep that only 45+ years in business can bring, I teach my students to track errors, avoid unnecessary mistakes, and generate and sustain powerful, energetic, productive concentration.

The best way to train Winning Focus is to build strength and endurance through gradual exposure to practice tests of increasing length and difficulty, bolstered by professional performance critiquing, feedback, error analysis, and personal support. It boils down to habituating a determined, enthusiastic, mindful concentration on test questions, and training higher levels of focus for longer and longer periods.

Fortunately, most high-performing students already know how to do this. Such students are typically athletes, actors, dancers, and/or musicians, and already know how to generate the state of mind necessary to excel at competitive activities. It’s just a matter of transferring this well-developed ability to the domain of test taking. Although the particulars are more complex, it’s really that simple.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, March 01, 2023

lizardpoint

Lizardpoint is a wonderful all-around early learning site for people of all ages. Students can use lizardpoint to learn geography, flags, world leaders (current and past), art, and math.

The site is great for adults as well as for children.

Sections on geography help students master finding countries and provinces, naming their capitals, topographical features, airport codes, and more.

The section on art features quizzes on major western artists and their most well-known works, fine art terminology, and important movements.

Math offerings include on-screen and downloadable/printable worksheets (with answer sheets) for arithmetic operations, decimals, percents, and fractions.

Quizzes on trivia, important definitions, and more round out learning activities presented.

New stuff is added regularly, collected in What's New.

Like Freerice.com, lizardpoint can be addicting, but in a good way. These two educational sites keep interested students learning and growing while having fun.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, February 08, 2023

Linear Functions – What You Need to Know

Linear functions is one of the most frequently tested subtopics on the SAT/ACT, and students continually employ these basic functions as they progress through more and more rigorous math courses. Indeed, there’s nothing more important to master in high school mathematics than linear models and methods.

But which ideas should students fluently understand and keep in mind to score well on the SAT/ACT?

Here’s the list.

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Definition
Linear Functions: functions involving two first-degree variables (typically y^1 and x^1).

Vertical line equations
x = #. 
For example: x = 4 graphs as a vertical line through 4 on the x axis.

Horizontal line equations
y = #. 
For example: y = -4/5 graphs as a horizontal line through -4/5 on the y axis.

Oblique lines

Linear equation standard form: Ax+By = C, slope = -A/B. 
For example: 3x – 4y = 12, slope = -(3/-4) = 3/4.

Slope-intercept form: y = mx + b, slope = m = "rise/run," y-intercept = b. 
For example: y = -x, slope = -1 = -1/1, y-intercept = 0.

Parallel Lines
m1 = m2 (equal slopes).

Perpendicular Lines
m1 * m2 = -1 (opposite reciprocal slopes).

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For practice, search Google for worksheets covering any or all of the above, pick a worksheet that provides answers, complete the worksheet, analyze any mistakes, and redo it until you can complete that worksheet with no errors. Then repeat, with additional worksheets, as needed, until you’ve mastered this important material.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, February 01, 2023

Call the Capitol Switchboard!

It's hard to not be cynical about politics, today. 

Citizenship, however, isn't politics. 

Rather, citizenship is responsibility we all share. Citizen participation is a requirement in a functioning democracy, a duty we can each discharge in multiple ways. One of the simplest is to call the Capitol Switchboard on a regular basis to leave messages for your congressional and senatorial representatives.

Here's the phone number: (202) 224-3121.

I recommend storing the number in your phone, so that when you have a few minutes you can make that time count by calling the Switchboard and leaving a message or two. A great time to do this is during the morning/evening commute, while waiting in line somewhere, or everyday just after breakfast (to make it a habit).

"The problem with democracy is that people get the government they deserve."

Do we Americans still deserve a strong, healthy democracy? Time will tell.

It’s easy to feel there’s nothing one can do. Which only furthers the degradation of the democracy we still have.

I invite you to do what you can. Calling the Capitol Switchboard only takes a few short minutes. Do so on a regular basis.

You and yours will know you did what you could to keep democracy alive in America, which is all that's required of any of us.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, January 01, 2023

How Young Adults Can Build Credit Fast

Credit allows adults to borrow funds to make important purchases too costly to buy with their own cash: a house, an education, a car, among other things. "Credit” is borrowed money in various forms: credit cards, retail store credit, car loans, personal loans, college loans, and a mortgage (a large loan used to buy a house).

Next to earning a good living, an excellent credit score is the most important financial goal to pursue, and young adults can begin to do so as soon as they turn 18. Credit scores range from 300 to 850, and your goal should be to keep yours at or above 760, the point at which you’ll get the most favorable terms (lowest interest rates, down payments, etc.) when borrowing money.

The way you create and maintain a high credit score is simple: pay all your bills in full, on time, always.

Below is a rough outline of the steps I followed to help our daughter to establish and grow her credit score once she graduated from high school.

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Before Age 18: 

Work and save

This project will take $1500 or so to get started, so you’ll need to earn that seed money before you can begin the process outlined below.

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Age 18:

Regular income

You’ll need a source of regular monthly income greater than you expect to spend each month. To be safe, it’s preferable to earn at least twice what you’ll be using credit to pay for.

** Note: Each month, on a regular basis, you must deposit earned income into your checking account. Without that regular deposit of income, in large enough amounts, this project will not work. 

Checking account – backed by an overdraft savings account

Put $500 into a fee-free checking account, and $500 into a linked overdraft savings account that will automatically pay your bills if you overspend your checking account. 

Set up your accounts at a bank or credit union near you. I recommend credit unions over big banks. Credit unions support the local area economy and generally providing better service to customers.

Credit Card 1

First, apply for a “secured credit card” or "student card." This is a special kind of credit card for first-time borrowers with no credit history.

With a secured credit card account, you pay a deposit to the bank issuing the card (perhaps $500) to guarantee your purchases will be paid, as promised. Once you’ve shown a six-month history of responsible payments (paying all charges each month in full and on time), the deposit will be returned to you. Your “secured” card then becomes an ordinary “unsecured” card.

Use you credit card sporadically to pay for restaurants and other low cost items. Be sure to keep your spending well under the spending limit for that card (known as your “credit limit”).

* Note: If at any time you have questions about your card, you can call the customer service phone number listed on the back of the card to get answers.

Set Up Autopay on Credit Card 1

From the beginning, you should enable “auto-pay” through your bank’s online banking system to automatically pay credit card charges and other regular bills and payments directly from your checking account. Autopay ensures that all your bills are paid in full, on time, each and every month.

With autopay, all you have to do is check online at the beginning of each month to make sure your checking account balance (the amount in your account) is large enough to easily cover the automatic payments that will be withdrawn from your account that month (if possible, maintain a checking account balance at least double the amount withdrawn by autopay each month to pay bills).

In this way, you won't have to write paper checks to pay your monthly bills, add stamps to payment envelopes, and actually drop them in a local mailbox on time. Making manual payments like this is not just a hassle; it raises the possibility that you might make a payment late, or forget to do so altogether. With autopay, that never happens – as long as you keep your checking account balance at the proper level.

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Age 19: 

Become an “Authorized User”

Now that you have some clean credit history, you can apply to become an “authorized user” on a credit card owned by someone else who trusts you, like your mom or dad.

You’ll be able to use the card to make purchases, which helps strengthen your credit history, but you won't be responsible for any payments. This is where “trust” comes in.

To make the most of this score-building opportunity, be sure to remain as an authorized user on this account, making sporadic purchases with it, for at least one year.

Credit Card 2

Now that you can show a longer history of good credit habits involving two credit accounts, you can apply for another unsecured credit card under your own name. Having more open credit accounts improves your credit score – as long as you always pay the full amount due on every one of your accounts, every month, on time. Search online for info on the best credit cards to get.

Use this card sporadically. As usual, have payments for your second credit card made through your checking account autopay service.

* Note: Once you’ve established at least one year of clean credit history, you can remove yourself as an authorized user on your parents’ card. Time spent as an authorized user has served its purpose. Now that you’ve got your own cards, you don’t need to have your name on theirs any longer.

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Age 20:

Retail Store Credit Card

A “mix” of different types of credit also helps build a higher credit score. In addition to bank-issued credit cards, retailers ofter issue credit cards to customers.

Go to a favorite retail store, and sign up for a store credit card to make a some additional purchases. As usual, pay the balance on that card in full each month using autopay.

Credit Card 3 – Rewards Card

Now that you’ve had two years' clean credit history on three different credit accounts, you’re ready to apply for your “go-to” credit card: a Rewards Card. “Rewards Cards" offer users extra advantages.

The best card to get is a “Cash-Back” card, one that offers at least 2% back on each purchase. Your rewards card now becomes your “go-to” card that you'll use for nearly all purchases.

If you shop on amazon, you’ll want to get an amazon Prime credit card, which gives users 5% off on all amazon Prime purchases. Costco members can get a Costco membership credit card that gives 4% back on all purchases of gas, which could save a lot of money for those who do a lot of driving.

* Note: Don’t keep too many cards in your wallet. I keep only two, my rewards card, and my Costco card. I keep the amazon card at home, since I only use it for online amazon purchases. Still, it’s good to have more than one credit card with you, just in case one doesn’t work for some reason. It's unnecessary to have more than three or four credit card accounts, total.

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Age 21:

Consumer Tech Loan

The Apple Store and other tech retailers will give loans to customers to pay for major purchases of tech gear: laptops, iPads, desktop computers, etc. Buy a good product (something you need and were going to purchase anyway) new or refurbished from one of these major retailers, and have the loan payments made automatically through autopay.

Keep the term (length) of all loans under three years (less is better, but never pay off a loan in less than a year, to give your credit score the best boost).

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Age 22:

Personal Loan

With a fairly long credit history, you can now apply to a bank for a “Personal Loan.” This is a loan you take for something personal, like a vacation. Apply at the bank or credit union holding your checking and savings accounts.

Take a short trip with a friend, and pay for it with funds provided by your personal loan. Then, as usual, put the loan payments on autopay.

Don't borrow more than you can easily afford to pay back. But a small personal loan of $1000-$2000 paid over a two year period will help you credit score a lot.

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Age 23: 

Pay Bills

Get a cell phone account, put your name on your house utility bill, and sign up for a streaming service or two; then, put all these bills on autopay though your checking account or pay them automatically using your go-to credit card (call your credit card company to set this up).

Signing up for special credit services can give scores a boost for those who pay basic bills on time (especially phone and utility bills). Renting an apartment may require a such a history.

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Age 24:

Car Loan

At this point, you’ve established excellent credit over a period of several years, and have a score at or above 760, proof of top-tier “credit worthiness.” 

With such an excellent credit record, you can make your first major purchase using credit – a car. Either arrange a car loan in advance with your bank or credit union, or buy the car through a dealership and use their financing department to arrange the loan.

To save money (and get a better deal), it’s best to buy a car that’s used but only a few years old. Going through a dealer is super-convenient and makes a lot of sense for first-time buyers. Be sure to research best models and prices, before making your purchase.

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Age 25:

Home Mortgage

With three or four credit cards, a store card, a consumer loan, a personal loan, and a car loan on your credit history, each account over one year old and with a flawless repayment history, you’ll be able to realize the American Dream: home ownership.

The largest purchase most people will ever make is buying a home. A home loan, called a "mortgage," a huge step, but one you’re ready to make, now that you’ve learned how to earn and deposit money and handle spending and payment responsibly though auto payment.

The only other requirement is a regular income from work large enough to handle the mortgage (monthly income will need to be at least four times the monthly mortgage payment).

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Search online for other suggestions relating to building and maintaining excellent credit. The more you know, the better. Next to your career, and your home, your credit rating is the most valuable asset you possess.

Following the approach above, in five years, by age 23, one year out of college, your credit score is now well over 800. You're in rarified air with one of the best of credit scores, with a credit history strong enough to qualify to buy your first home under the best possible mortgage terms.

* Never close a credit card account, once opened, even if you owe nothing on the account. Generally speaking, it’s best to keep all credit card accounts open forever, since the older your credit history, the higher your credit score.

Track your credit score regularly using a site like creditkarma.com.

At this point, further credit isn't necessary, and you should avoid opening any additional accounts, unless truly necessary. Just maintain your excellent credit history, use the few credit cards you have, always pay all your bills in full and on time each month using autopay, and make sure your checking account balance is higher than you'll need to cover auto payments for at least two months (with a similar sum in your linked overdraft savings account, for extra safety and as an emergency cash fund).

You have arrived. Good job.

Enjoy!

For another look at this important topic, click here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, December 01, 2022

Don't Save for College (In Your Child's Name)

Saving for college is widely seen as something good and noble that all parents should attempt to do. 
And saving for college is good and noble – but it should be done in the right way.

Unless you're able to pay cash for college and your student won't need financial aid to attend, do NOT save money in your child's name. Doing so will only reduce the student's financial aid award.

In calculating awards, parental assets and student assets must be reported. The problem is that student assets have a far greater negative impact on the calculation than parental assets do.

Every additional $100 in student assets reported reduces financial aid by roughly $25, whereas an increase in reported parental assets decreases financial only $6.

Save for college, yes, but put those savings in a separate, dedicated account in the parents' names – not in any kind of student-named fund.

There's no reason to give away financial aid money!

Be smart, and save for college in a dedicated non-student investment vehicle.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, November 01, 2022

Wolfram Alpha

Stephen Wolfram and his engineers, makers of Mathematica, are at it again.

Wolfram Alpha is Stephen Wolfram's groundbreaking computational knowledge engine, one of the earliest such applications online. 

Type a question into the calculation field, and Wolfram will input the question and output the answer on-screen.: "How many goats in Japan in 1986?" Alpha knows the answer (~47,500).

Input z=x^2+y^2, and Alpha will output a 3-D graph along with detailed information about the relation.

Also of interest is Wolfram Mathematical Functions, the largest repository of mathematical functions ever to exist. 

Math fans, especially, will find Wolfram Alpha a fun site to peruse.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Saturday, October 01, 2022

50 Dangerous Things

Were you a "free-range kid?"

Free-Range Kids are largely left alone to explore the world independently. That includes trying things out, making mistakes, finding joy in exploration and experimentation, getting hurt on occasion, surviving those occasions, learning from errors, and growing up confident and competent in handling oneself.

We boomers were free-range kids. Gone after school until sunset and dinner time, off doing who knows what, who knows where, with whomever we pleased. 

Riding bikes miles away and speeding downhill in t-shirts, jeans, and flip-flops with no helmets (bike helmets weren't yet a thing; we wouldn't have worn them anyway). Cimbing across tall hills, shooting BB guns at soda cans, throwing rocks and clods of dirt at each other (and getting hit, painfully, on occasion). Exploring underground rain tunnels and coming up out of manholes, scaling tall school buildings after dark, hiking cross-country in Boy Scouts with only a map and compass, etc. All this was unremarkable and everyday.

Along these lines, 50 Dangerous Things (You Should Let Your Children Do) is medicine for modern parental paranoia. 

From the amazon description:

"In a time when children are too often coddled, reminds readers that climbing trees is good for the soul, and that a pocket knife is not a weapon. Full of exciting ways children can explore the world around them, this book explains how to “Play with Fire” and “Taste Electricity” while learning about safety. With easy-to-follow instructions, it includes:

• Activities, like walking a tightrope

• Skills, like throwing a spear

• Projects, like melting glass

• Experiences, like sleeping in the wild

As it guides you through these childlike challenges and more, the book will inspire the whole household to embrace a little danger."

Other recommended "dangerous" activities include learning to whittle, tie knots, make fires, stand on the roof, find beehives, go underground, perform on the street, cross town on public transit, sleep in the wild, make a rope swing, climb a tree, play with dry ice, drop from high places, and more.

Along the same lines, I recommend The Coddling of the American Mind, by Jonathan Haidt.

Haidt's book picks up where 50 Dangerous Things leaves off, and elucidates how unnecessarily frightened helicopter parenting – smothering kids with constant supervision – is actually far more harmful to young people than allowing them to take calculated risks and build confidence and independence in the process.

An important book for over-anxious parents raised by over-anxious parents.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Thursday, September 01, 2022

Gƶdel, Escher, Bach

Douglas Hofstadter's mind-bending tome about self-reference and meta-thinking published in 1979 is a classic in recreational mathematics. Getting all the way through it is a tantalizing, formidable intellectual challenge.

Self-reference applies to ideas that loops inward (outward?) on themselves. 

Some examples:

This sentence is false. Seeing one's own eyeballs (without using a mirror). Brushing the bristles of a brush with that same brush.

Hofstadter compares the works of three geniuses: Kurt Godel in the domain of pure mathematics, M. C. Escher in the world of fine art, and Johann Sebastian Bach in the realm of western classical music. The similarities are, indeed, surprising and impressive.

All three masters dealt with the concept of circular self-reference, but in different ways. Godel proved the illogical nature of mathematics (which is, itself, based on logic); Escher was famous for stairs that climbed upward to the bottom of the stairs and identical tessellating foreground and background images that seem, somehow, to "cause" each other; Bach would take a short series of notes, and then invert the same motif, play it backwards, string these versions together, etc.

The book is highly intriguing, almost addictive. But it isn't for the faint-of-heart or faint-of-mind. I tried to finish it. Wasn't able to. Made me dizzy. Read it at your own risk.

Buy GEB here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Monday, August 01, 2022

Get a Head Start

A head start in life is a great advantage, and nowhere is this more clear than in the educational realm.

For example, any parent with a good high school education can teach his or her child to read at a very early age. See: Teach Your Child to Read in 100 Easy Lessons.

Likewise, any child who can draw stick figures with a crayon can learn to form letter shapes.

Simple mathematical concepts can be taught as soon as a child can count. Counting objects is the first step in acquiring "number sense," a visceral feel for numbers essential to mastering mathematics. The goal of all early math education should be the development, strengthening, and maintenance of number sense, along with the ability to do accurate mental and paper/pencil calculations and estimates. These aims should be ardently pursued and achieved in grades K-6.

Parents can work with eager children at home to provide them an early start. My own daughter was reading at age four, mastering math facts at five, operating with negative numbers at six, typing at seven, and doing algebra at eight.

Not all parents are professional academic tutors, as I am. Still, it doesn't take much forethought for most parents to provide their children a leg up in their schooling.

For those who wish to have professional guidance, I offer private consulting for parents of young children. In addition to providing general information about schools, early education, and tutoring at home, I help parents design and implement individualized, age-appropriate academic head start plans tailored to each child's particular needs and interests. You can contact me here for more information about this unique service.

An good head start is a great gift, one of the best parents can offer their children.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, July 01, 2022

Mad Minute

Mastery of the basic facts of arithmetic is the first step toward mathematical fluency, and is a central early academic goal. 

A "Mad Minute" is a simple, daily exercise for elementary school students striving to memorize their basic math fact "tables." Mad Minute worksheets contain several dozen questions using the same operation (addition, subtraction, multiplication, or division), and are an excellent way to provide kids with daily practice.

To complete an exercise, students are given one minute to answer as many questions as they can. Each correct answer earns one point. After the minute is over, the number of correct answers is counted and written atop the page. Speed, therefore, is essential to a high score. However, students stop earning points after the first mistake! So accuracy is even more important. 

[Note: Mad Minutes introduce and reinforce two very important rules in studying mathematic – speed is important but accuracy is even more important – and are therefore doubly beneficial.]

Mad Minutes should be assigned at home each day (one for each operation, if possible, according to the student's current ability).

Mad Minute exercises are also great ways to track progress, since each completed exercise acts as a current assessment of mastery. Students might enjoy recording their scores in a 2-column table, and visualizing them using a 2-D chart with dates along the horizontal axis and scores along the vertical – an excellent way to introduce the concept of numbers as data. You can find large-format graph paper here and here.

Mad Minute books, providing multiple worksheets for each operation, have been around for decades. Click here to buy the latest on amazon.

Free downloadble/printable basic number fact worksheets, along with online drills and simple games, plus more worksheets and drills covering advanced work with operations, decimals, percents, and fractions, and simple mental exercise games like Make a Match and Find It, can be found on lizardpoint.com here.

Hint: Downloaded files are easier to work with, since workbooks eventually fill up and need to be re-purchased. Mad Minute exercise files, on the other hand, like those available on lizardpoint, can be printed over and over again, as needed.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Wednesday, June 01, 2022

The Great American Bathroom Books

Imagine a single-volume guide to a classic liberal arts education. You get essentially that in The Great American Bathroom Books, Volume 2.

Containing two-page thumbnails of all-time great written works, readers get a taste of famous titles without having to invest hours in the process. Single-sitting synopses are well-organized and well-written. Think of each as a summary of a summary, a shortened "Cliff Notes." 

Volumes 1-3 include main plot points, central themes, and condensed analysis of classic works of literature, important novels and plays, and popular recent non-fiction titles. All but Volume 3 are out of print. Read the second volume, first.

But a good used copy on amazon here or eBay here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Sunday, May 01, 2022

The Lazy Man’s Guide to Enlightenment

Never was a book's title more descriptive. 

This dense little book by author Thaddeus Golas is short and very sweet. Takes only an hour to read, but can be re-read again and again, newly each time. By the end of it you'll have no excuse to to remain endarkended.

Talking about enlightenment is like a dog chasing its tail, eating your own mouth, seeing your own eyeballs without a mirror. It's impossible, a futile effort. Paradox and Confusion are the guards protecting the Jewel within the temple. Enlightenment lies outside the realm of words and concepts.

The author acknowledges early on his own reluctance to write the book in the first place, explaining it's really just a personal journal of sorts, written to remind himself of key points and lessons he's learned.

"He who talks about the Truth doesn't know it; he who knows the Truth doesn't talk about it."

Nevertheless, here it is, in less than 100 pages.

End your quest, and realize that you're already (always have been, and always will be) enlightened. Experience (or re-experience) the "Me Decade" of the 1970s and the Human Potential Movement in all its glory.

Read, learn, lighten-up.

The book is out of print and getting expensive. Buy the book here on amazon.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Friday, April 01, 2022

PreK-12 Curricula

Public and private schools vary greatly in quality, and parents ought to take responsibility for ensuring each child is learning what he or she needs to learn at every stage.

There's a vast ocean of teaching guides and materials available online. Few parents are professional teachers or education experts, and those without such training or experience will find it difficult to separate wheat from chaff. Those looking to monitor the education of their children or who want to teach or tutor their children at home will need help in their efforts.

For such parents, having access to a reliable curriculum guide is essential. Two that I've found useful are the ones found at IXL and World Book.

The IXL platform is used in schools all over the nation, and a paid IXL account may be worth the investment for your family, given the breadth and depth of their PreK-12 course offerings, excellent learning materials, and sterling reputation.

The Core Knowledge Foundation, headed by E. D. Hirsch, author of the acclaimed Core Knowledge book series, provides free curriculum materials for grades 1-8. I'm a big fan of Core Knowledge Books, and recommend them highly. Based on the excellence of these publications, I'm confident the curriculum materials prepared by the Core Knowledge Foundation will be of similar quality. Interested parents can check them out here.

An excellent resource for teaching young children to read is the phonics-based Teach Your Child to Read in 100 Easy Lessons. I used this book to teach my own daughter (eager learner) to read at age four. Each lesson takes about 20 minutes to complete, and can be broken up into two parts for kids without lengthy attention spans. The method of instruction is so simple that any parent with a good high school education can implement it easily.

Nowadays, it's quite important to carefully monitor what's taught (and how it's taught) in school. Gone are the days when parents can safely take these things for granted.

Fortunately, there's a lot parents can do to ensure their children actually receive a high quality education.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, March 01, 2022

Atlas Obscura

I came across this book in an all-night gas station convenience store, of all places. With coffee in hand, a few minutes to spare, and the purchase of a birthday present on my to-do list, I read a few pages and was entranced. I picked up one for the birthday girl (our adult daughter), then ordered an extra copy for me.

For anyone who's adventurous and likes travel, Atlas Obscura is a great read, an awesome reference book, and a truly unique trip planning guide. The book lives up to its name, directing adventurers to obscure, fascinating, odd-ball destinations at home and abroad.

From amazon's description of the first edition:

"It's time to get off the beaten path. Inspiring equal parts wonder and wanderlust, Atlas Obscura celebrates over 700 of the strangest and most curious places in the world.

"... the dazzling glowworm caves in New Zealand, or a baobob tree in South Africa that's so large it has a pub inside where 15 people can drink comfortably. Architectural marvels, including the M.C. Escher-like stepwells in India. Mind-boggling events, like the Baby Jumping Festival in Spain, where men dressed as devils literally vault over rows of squirming infants. Not to mention the Great Stalacpipe Organ in Virginia, Turkmenistan's 40-year hole of fire called the Gates of Hell, a graveyard for decommissioned ships on the coast of Bangladesh, eccentric bone museums in Italy, or a weather-forecasting invention that was powered by leeches, still on display in Devon, England.

"Created by Joshua Foer, Dylan Thuras and Ella Morton, ATLAS OBSCURA revels in the weird, the unexpected, the overlooked, the hidden and the mysterious. Every page expands our sense of how strange and marvelous the world really is. And with its compelling descriptions, hundreds of photographs, surprising charts, maps for every region of the world, it is a book to enter anywhere, and will be as appealing to the armchair traveler as the die-hard adventurer.

"Anyone can be a tourist. ATLAS OBSCURA is for the explorer."

Buy the second edition here (100 more destinations, and more).

Check out the official website here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.

Tuesday, February 01, 2022

Freerice

At
freerice.com students of all ages can learn everything from basic arithmetic to art history, world geography, anatomy, and English grammar and vocabulary, while earning grains of rice to donate to the United Nations' World Food Program (WPF).

"Rice" is used as a metaphor for donations generated by users of the site that sponsors then fulfill. Each correct answer stores 10 grains of virtual rice for donation to the WFP. Sponsors then give the monetary equivalent of all rice collected to the WPF to fund its charitable work around the globe.

From the site:

"The United Nations World Food Programme (WFP) is the 2020 Nobel Peace Prize Laureate. We are the world’s largest humanitarian organization, delivering life-saving food assistance in emergencies and working with vulnerable communities to improve nutrition and build resilience."
Freerice is a great way to learn while helping others in need throughout the world. The site generates billions of "rice grains" each year, a total of 224 billion to date! Caring students get smarter while making the world a better place in a concrete way."

For anyone who loves learning, it's hard to imagine a better way to have fun.

FAQ here.

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Copyright © 2006-present: Christopher R. Borland. All rights reserved.