Wednesday, November 01, 2017

Take College Classes While in High School

There are a number of very good reasons to take college classes while in high school (this is called "Dual Enrollment").

1. A's in college-level work look good on college applications.

2. Advance placement could save you valuable time and money in college (students may earn enough extra units to earn their undergrad degree in just three years, allowing them to begin careers or grad school well ahead of schedule).

3. You can get pesky general education requirements out of the way while trying out various ideas for majors, so that once you're at your dream school you can make the most your tuition dollars by taking upper-division courses freshman year and exploring or developing majors early.

4. Advanced high schoolers may be feeling like they've had enough of high school, and will be invigorated by dipping their toes into a more intellectual environment, interacting with college professors and students, etc.

5. Your academic work does double-duty this way, earning both high school credits and college units at the same time, so you can take fewer high school classes senior year (you might even be able to leave campus at lunchtime).

If you have a junior college near home, chances are you can take courses there as a junior or senior in high school. Local four-year colleges may also allow you to take courses for college and high school credit simultaneously. 

WARNING:

Colleges and departments often place arcane restrictions on the transfer of college credit earned before matriculation. Be sure to check with your high school counselor, the registrar at your local college, and relevant departments at the schools to which you'll be applying for admission – to be absolutely sure of the credits you'll be earning – before enrolling in college courses while still in high school.

After graduating high school in 2011, our daughter took a gap year before attending Wesleyan University, and took two semesters of junior college calculus during that year off. Before enrolling in the JC courses, she called the Wesleyan registrar and confirmed that yes, the two JC calculus courses would, in fact, be counted for credit at Wesleyan. Once she got to Wesleyan, however, and decided to major in mathematics, the math department head refused to count her "A" grade in JC multi-variable calculus toward her math major at Wes! The JC course would be counted for graduation, but not toward the requirements for the math major. So, she had to retake the course at Wesleyan. As it turns out, the Wesleyan math department would have accepted for full credit within the major any upper division math courses taken at a four-year college. Had our daughter known this ahead of time, she could easily have taken the 3D calculus course at Sonoma State University, just 15 minutes from home, rather than at the local JC.

I had a student several years ago who a similar experience at Amherst. He earned a 5 in AP calculus AB in high school, but nevertheless had to retake the course at Amherst, due to restrictions on college credit earned at other schools.

With proper forethought and requisite caution, taking college courses while in high school can be a wonderful opportunity to stretch intellectual boundaries, boost applications, fulfill requirements, save money, and investigate prospective majors ahead of time.

Do your due diligence, check early with all parties involved (including heads of relevant departments), get promises of credit in writing (via email), and you should have no unhappy surprises.

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

Sunday, October 01, 2017

Children's Books for Teaching Math

Great story books abound, and children love them ... but there are also plenty of fun, well-crafted nonfiction books for kids, and these are just as important to include during family reading time.

Elyse Mycroft at proudtobeprimary.com has compiled an excellent list of wonderful books to use in introducing the panoramic world of mathematics to children.

Early math topics from numbers and counting to patterns and sorting, fractions, measurement, time, basic operations, and financial literacy are introduced and explored.

Children's Books for Teaching Math

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

Friday, September 01, 2017

Math Worksheets and Drills

Overuse breeds contempt, as evidenced by how unfashionable it's become in most American schools to utilize worksheets and drills in teaching math to kids.

Actually, it's important to attend to both sides of the pedagogic coin when teaching and learning mathematics: discovery and memorization. Anything less, and ... trouble ensues.

Currently, the discovery side of the coin is in vogue and generally gets adequate attention.

For the foreseeable future, it may be up to parents to supply the drill and worksheet components that lead to memorization of basic math facts and mastery of essential processes.

Below are some good resources:

education.com

homeschoolmath.net

themathworksheetsite.com

math-drills.com

math-aids.com

mathfactcafe.com

Super Teacher Worksheets

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

Tuesday, August 01, 2017

Rules for Marketing a Private Educational Practice

When I began teaching privately in the 1970's, tutoring wasn't yet a thing. It wouldn't become a thing till the late 1980's. By the turn of the century, the academic coaching market had long been a billion dollar industry. In 2018,
it will surpass $100 billion.

In the old days, it was simply a matter of contacting college admission consultants and academic deans at local private schools, arranging meetings, asking for referrals, and then doing stellar work. Nowadays, with the educational landscape awash in tutors of all stripes, it can be hard to get a foot in the door.

Nevertheless, the basic template for running a successful private educational practice remains the same today as it's always been.

It boils down to five basic rules.

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Be Excellent

Excellent work is the sine qua non of successful private practicing educational businesses. You solve problems for parents who hire you and create good will for colleagues who refer to you. These are your two top priorities, and must always remain so.

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The goal is ... Raving Fan Clients.

[Not clients, not satisfied clients, nor even happy clients ... Raving Fan Clients!]

In end, it's all about generating great word of mouth from clients who RAVE about you, and for that you need to do great work, go well beyond the call of duty, and give more value than the money you charge (and if you're very good, you can and should charge a high fee).

Raving fan clients can't stop talking about you and the stupendous value and level of service you provide. They spread your name far and wide, propagating a buzz about you that takes on a life of it's own. Because people only ever hear wonderful things about you, contacts who've never met you begin sending you referrals based solely on the strength of your reputation.

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The Three Marketing Tasks

Marketing a private educational practice successfully involves three key tasks:

A. Identify what you're good at.

B. Find people that care about that.

C. Show them how good you are.

[Attribution: Justin Sigars, BodSAT Prep.]

The first task is arguably the most important. Precisely identifying what you're great at doing sets the direction and scope of your practice and clarifies the targets and content of your marketing efforts.

Most private teachers over-generalize and would do well to pare down their offerings to those few at which they're most expert and feel most confident.

By limiting one's offerings to only those market niches virtually no one else can serve as well as you can, you increase the number of raving fan clients you have and boost the velocity with which word of mouth spreads the message of your fabulous service.

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People will only refer to you if you make them look good.

One of your primary goals with each client is to make your referral source look good by exceeding expectations, giving true service, and producing fantastic results.

It's a good practice to thank referral sources for referrals, and to get back to them at least once with a progress report on how great your student is doing.

Make sure your referral sources hear about it whenever clients they refer express great pleasure with your work.

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Always quickly follow up enthusiastic praise of your work with a request for positive feedback.

When a student who's been failing algebra suddenly gets an A- and then an A on two consecutive tests, I guarantee you'll get an email message from a new Raving Fan Client praising your skills and expressing gratitude for the wonderful work you're doing.

At that moment, ask for positive feedback.

Such feedback could take the form of an email to the person who referred you, singing your praises. It could be a 5-star Yelp review. At the very least, ask the client if he would please share your contact info with other parents if/when he gets the chance. You can also ask the student involved to give your name to classmates who may be looking for tutoring.

Every time you produce a particularly noteworthy result – as indicated by receipt of high praise – turn it into positive public feedback of some kind.

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And yes, all this takes copious amounts of energy. Which means, if you're successful, you'll eventually have to limit the amount of work you do.

But that doesn't have to mean putting the brakes on your income. As of 2018, the best private practice educators in the San Francisco Bay Area consistently earn multiple six figure incomes.

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

Saturday, July 01, 2017

Math Fact Cards, Apps, Calculation Training Sites



Technology has transformed many aspects of modern society, and nowhere is this more evident than in the realm of teaching and learning. Nevertheless, the need to commit to memory all basic facts of arithmetic remains one of the great pedagogical constants.

It's not all down to rote memorization, however. One of the most important modern early learning goals is the attainment of "numeracy:" a visceral sense of what numbers are together with utilitarian mastery of what they do and how they do it.

After learning to count, compare, and estimate numbers, a child's next goal in the study of arithmetic is to understand addition and subtraction (joining and separating) and multiplication and division (repeated addition and repeated subtraction).

Once these definitions are demonstrably clear, addition and multiplication facts are collected through experimentation with real objects and memorialized in tables. After addition and multiplication tables are memorized, subtraction and division facts are easily learned as "reverse addition" and "reverse multiplication." Related math facts are then grouped four-at-a-time in "fact families" and recorded permanently in memory as gestalts (2+3=5, 3+2=5, 5-3=2, 5-2=3). The goal is instant recall of each and every single-digit math fact.

Thus attained, basic numeracy opens up the world of mathematics as both tool and tableau, powerful and beautiful beyond imagining.

Engaging, efficient tablet and smartphone apps have replaced the venerable flash card stack as the method of choice for learning basic math facts (though flash cards can still be used productively in assessment and to add variety).

Ultimately, kids and adults so inclined can train as mental mathletes performing astounding feats of human calculation.

Below are math fact apps and training sites I recommend:

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Flash Cards

3-Corner Addition Subtraction Fact Family Cards

3-Corner Multiplication Division Fact Family Cards

Addition Subtraction Multiplication Divison Flash Cards (with Word Problems)

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Math Fact Apps


Math Brain Booster Games (iPhone)

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Mental Calculation

Mathemagics (iOS)

Mencal (iOS)

Mental Math Quick Speed (Android)

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Training Sites

Varsity Tutors Flashcards

Math Trainer

Winhoff.net

Arithmetic Game

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Other

Mad Minute

Wikipedia: Mental Calculation

Wikipedia: Mental Abacus

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