Showing posts with label Resources. Show all posts
Showing posts with label Resources. Show all posts

Saturday, May 01, 2021

Toy Box Subscriptions

New parents often wonder what kinds of toys to buy for their infants and toddlers.

When given a choice, little ones seem find everyday objects the most fascinating. Kitchen items are a favorite source of amazement: bowls, cups, pots and pans, silicon cupcake moulds, ice cream scoops, etc. Balls, plain wooden blocks, fabric, toilet paper tubes, and small boxes are other examples of free or low-cost toys that babies love.

Remember to assiduously avoid anything sharp, pointed, small enough to fit all the way inside a young child’s mouth, or painted (unless you know the paint is safe). Remember, until infants are a year old or so, everything goes in the mouth.

Nevertheless, it’s nice to find some fine educational toys to add to the mix. Researching the best options for baby at each age of development can be a chore, however. Fortunately, regular delivery of curated selections of age-appropriate toys is now possible through various subscription services. One of the best of these is Lalo.

Rooted in the Montessori early learning model, boxes of educational toys picked for specific age groups can be purchased individually or through a subscription model. With minimal effort, busy parents can check this task off their to-do list and give themselves more precious family time.

You’ll find other top offerings in Best Baby Toy Subscriptions of 2024 published by U.S. News.

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

Saturday, August 01, 2020

The Mighty Khan

Khan Academy is the apotheosis of K-12 distance learning and one of the chief miracles of the information age.

Nowhere can one find a larger variety of excellent educational offerings, from Pre-K curricula and grade school standards to AP Art History, APUSH, Differential Equations, and Organic Chemistry.

Khan's educational offerings, available in 42 languages, are used in diverse ways in public, private, and homeschool classrooms all over the world. Total views are in the billions, and growing.

And no wonder. The courses are rigorous, well-organized, and expertly taught, and a pleasure to use. Founder Sal Kahn is a genius, a visionary, and probably the world’s best private tutor.

There’s no excuse for boredom.

Click here.

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

Friday, March 01, 2019

White House Fails English

The recent experience of retired English teacher Yvonne Mason echoes the exasperation felt by many of us who spent the first two years of high school English doing nothing but arcane grammar exercises out of a workbook.

It may be too much to ask in this age in which English teachers no longer feel the need to teach grammar (and English majors aren't even required to study it), but shouldn't we expect better than this from the office of the highest governmental official in the land?

Argh. [Facepalm.]

I might suggest these English language resources.

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

Friday, February 01, 2019

ratemyprofessors.com

Until you declare a major, take highly-rated professors, not classes!

Think of ratemyprofessors.com as Yelp for college professors. Search for your school (or prospective schools), and get reviews and ratings by real students of instructors in all departments. Use the site to find life-changing teachers and avoid duds.

Some reviews are more helpful than others, and as is the case with other review sites, ratemyprofessors.com doesn’t tell the whole story. But with quantified measures like "Overall Quality" and "Level of Difficulty" (among other indicators) it’s a whole lot better than having no idea at all as to which teachers are likely to be golden and which should probably be avoided like the plague.

Most/all established professors at are listed at each institution, and university-wide averages give you some idea as to the quality and collective personality of various faculties.

Schools are rated by students according to other important factors, as well (e.g. reputation, happiness, food, facilities, location, social life, etc.), providing useful comparative data.

As an example, click here to see data for Wesleyan University.

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

Saturday, December 01, 2018

101 Things to Do Before You Graduate

Life Coach Julian Gordon has published an indispensable book for college freshman:

101 Things to Do Before You Graduate.

Listing 101 truly useful and important academic and personal goals to fulfill as an undergrad, Gordon gives callow freshmen a roadmap to follow to make the most of their college years.

Those four undergraduate years will be over before you know it, and with them will disappear once-in-a-lifetime opportunities. Don’t waste some of the most important and potentially profitable and enjoyable years of your life! 

This book makes a great gift. Should be required reading for every college-bound high school senior. Slightly out-of-date, but still a fantastic font of fabulous ideas for undergrads. 

UPDATE: Great TED talk given by Jullien on the 4.0 GPA That Really Matters.

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

Thursday, March 01, 2018

Teach Your Child to Read

There’s no excuse for illiteracy, and this book proves it:

Teach Your Child to Read in 100 Easy Lessons (by Siegfried Engelmann, et al).

Virtually any educated adult can teach virtually any interested child to read at a comfortable second grade level in four to six short months (one 20-minute lesson a day, six days a week) using this classic phonics-based home learning tool. If desired, one can take up to a year to complete the 100 lessons (supplementing learning sessions with additional reading materials, extra writing exercises, etc.).

Instructions for the parent-teacher are crystal clear at every stage, and super easy to implement. Students should be able to recognize upper and lower case ABCs before starting, and it helps to know the main sounds each letter makes (but this isn't necessary).

Using this system our daughter learned to read at age four, the proverbial child with her nose stuck in a book. She went on to be a happy, successful student, and a voracious life-long reader. Very precocious children who want to learn to read could start even earlier. Most kids would probably do well to begin at four to five years of age.

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

Monday, January 01, 2018

College Application Marketability (CAM)

Several factors are involved in the evaluation of college admission applicants. The following is a rough approximation of the relative importance college admission committees assign to basic elements of a typical application:

* Coursework (grades and rigor): 40%

* SAT/ACT test scores: 30%

* Essays (Common App, personal statements, supplements, etc.): 15%

* Everything else (extracurriculars, leadership, legacy, ethnicity, etc.): 15%

Let’s assume that an average honors or AP-level high school course requires about eight hours of work per week (four hours in class, and four hours outside class). Assuming six classes and 36 weeks of school per year, that’s 1728 schoolwork hours per year for the typical college-bound high school student. By the end of junior year, that’s 5184 academic hours. Just to be safe, let’s round down to 4,800 hours. That’s 120 hours per CAM point.

Suppose a student spends an average of two hours per week over the course of 12 months preparing for the SAT. This requires a total investment of 104 hours. To be safe, lets round up to 120 hours. That’s only four hours per CAM point.

Similarly, time invested in planning, drafting, editing, and polishing college application essays is hugely profitable! Let’s assume the average student needs to write one 1000-word Common App essay and eight 500-word supplemental essays and personal statements; that’s nine college application essays totaling 5000 words. To do an outstanding job on these critical pieces of academic work might require 75 hours. That’s only five hours per CAM point.

The takeaway:

Making a serious commitment to long-term standardized test prep and to putting in the time and effort required to write great college essays is highly intelligent!

Yes, of course, you should do all you can to take the toughest courses and get the very best grades possible. You do need to show sincere interest in your favorite schools, committed involvement and initiative in pursuing extracurricular activities for your own enjoyment and in service of others, and accomplishment of notable NTA's ("non-teenage activities").

And, of course, there are only so many hours in the day. Nothing on Earth is more important than maintaining good mental and physical health, properly balancing work and play, and getting enough rest and sleep. You can't do your best work if you're sick, unhappy, or exhausted.

Notwithstanding these important considerations, the fact remains that work on test prep and college essays is up to 30 times more productive than anything else the typical high school student can do to maximize CAM and boost the odds of admission to a top school.

Imagine that you’re taking an additional half-course called “CAM Class” throughout junior year and during the first semester of senior year. The content of this independent study course will consist mainly of your own research into “good fit” colleges, standardized test prep, college essay work, and general college application planning and preparation. You’ll put far less time into CAM Class than you would into any ordinary course – but your devoted participation here has the potential to do far more for your chances of gaining entrance to the college of your dreams than do all the other courses you’re currently taking put together!

This is an incredible opportunity for those committed students willing to step up, embrace the challenge, and make a relatively small sacrifice of time and energy in exchange for the excitement, fulfillment, and future success that only a great college education can provide. It’s smart to commit yourself to building the best college application package you can by working diligently to maximize your score on the SAT or ACT and nail your college application essays.

Make a plan to investigate various colleges and universities that match your goals and fit your personality, prepare thoroughly for the SAT or ACT, write and finely polish your college essays, and complete and fine-tune your college applications well ahead of time. If you can, find a qualified test prep coach and private college counselor to help you along the way. If this isn’t possible, you can do quite well working entirely on your own – without paying for any outside help at all – simply by reading good books on these subjects, researching online, putting in the time, and becoming a test prep wizard and college application expert through self-study.

Summing up:

There’s no better investment than the time and energy required to earn an “A” in CAM Class.

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

Friday, December 01, 2017

MOOCs are Coming of Age

At their inception several short years ago, MOOCs (Massive Open Online Courses) were an unproven concept with passionate advocates on opposite sides of a great debate. MOOCs were going to revolutionize higher ed, or destroy it. No one could tell which it would be.

A decade later, top MOOC providers like Coursera and EdX have grown and prospered. Top-notch course offerings by the best universities in the world have attracted millions of students world-wide. Legions of online pupils of all ages have completed courses, some earning coveted professional certificates and even fully-accredited graduate degrees online. Low cost has made high quality higher ed available to a much wider, world-wide audience.

Though forms are still evolving and the precise roles to be played by MOOCs are still uncertain, both the radically new concept and the traditional educational landscape have survived and even thrived as a result of the introduction and mainstreaming of MOOCs.

Today, MOOCs and associated certificates/degrees are legitimate educational alternatives.

See links below for further info:

Massive Open Online Course (WikiPedia)

By the Numbers: MOOCs in 2017

The Future of MOOCs

Coursera

Coursera Professional Certificates

Coursera Undergrad and Grad Degrees

EdX

EdX MicroMasters Certificates

EdX Professional Certificates

EdX Series Programs

MIT Open Courseware

Stanford Online

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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.

Thursday, June 01, 2017

Guidebooks: Science Experiments and Projects

Scientific inquiry, invention, experimentation, and discovery are all possible at quite sophisticated levels using ordinary materials found in every home or easily purchased online.

Parents without scientific degrees, however, will normally draw a blank stare at the thought of setting up and operating a "family lab" at home.

Fretting is unnecessary, however. By setting aside a dedicated science space in the home (even just a small table and bookcase in the family room), and using a few good books as guides, the task needn't be unduly burdensome.

To get things going, below are listed some great activity books for young scientists and their parents:

STEAM Kids

Exploralab

Exploratopia

The Science Explorer

The Curious Kid's Science Book

Big Science for Little People

The 101 Coolest Simple Science Experiments

The Big Book of Makerspace Projects

Tinkerlab: A Hands-On Guide for Little Inventors

Electronics for Kids: Play with Simple Circuits and Experiment with Electricity!

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

Saturday, April 01, 2017

Early Data Visualization

The explosive increase in computing power in the last half of the last century changed the course of the mighty river of mathematics.

Discrete methods of solution came to supersede analog ones as "on-off" digital notions replaced the continuous. Analytical techniques and number-crunching overtook the elegant formality of logical solutions and symbol manipulation, lending to the latter a strangely passƩ and almost quaint air.

Yesterday, calculus and algebra were king and queen. Today, its statistics and data science.

Students will likely continue to study the traditional arithmetic-algebra-trig-calculus sequence we've all been used to, at least for a another decade or two.

Nevertheless, stats and datasci are coming up awfully fast in the rear view mirror, and it's just a matter of time before we watch them zoom by.

What does this mean for modern day parent-teachers?

Teach your child to enjoy measurement, recording data, and making pretty graphs!

Families can track chores done using points hand-recorded on a refrigerator door chart in bar-graph form. Weather data taken from a home weather station can be tabulated and line graphs generated. Personal goals can be set and progress memorialized using large presentation pad graph paper for all so see.

Finding ways to make creating, recording, analyzing, and visualizing data fun and rewarding will go a long way toward developing "data sense" in your growing children.

Start as soon as they can count and "color inside the lines."

Large format graph paper:

1" Grid Tablet 24 x 32 Inches

Quadrille Paper Grid Pad 17 x 22 Inches

Canson Foundation Series Quadrille Graph Paper Pad 11 x 17 Inches

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

Thursday, March 02, 2017

The Miracle of Human Anatomy

The study of human anatomy has fascinated humankind's greatest thinkers since antiquity.

No machine rivals the awesome complexity of the human body and its myriad systems and organs. Nothing in art or nature surpasses it's dazzling, intricate beauty and harmonious melding of form and function.

Anatomical models, drawings, and texts reveal many of the tantalizing secrets lying under our own skins, and the study of human anatomy should be part of every home science curriculum.

Following is a list of recommended resources:

4D Vision Human Anatomy Torso Model

Smart Lab Toys Squishy Human Body

Smart Lab Human Body Model

Melissa & Doug Magnetic Human Body Anatomy Play Set

Gray's Anatomy for Students: With Student Consult Online Access, 3e

Anatomica's Body Atlas

The Anatomy Coloring Book

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

Wednesday, February 01, 2017

Early Puzzles, Problem Solving, Math Games

Lots of fun family activities expose children to logical problem solving and exercise mathematical thinking muscles without adding columns of numbers or solving equations.

Games and puzzles that develop cognitive abilities, reasoning, and heuristic skills are great ways to get better at math without really trying, and provide alternative content for productive family learning times.

Below are just a few ideas:

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Products

Puzzle Barron's Logic Puzzles

Q-BitzQ-Bitz SoloQ-Bitz Junior (Ages 3+)

Math Dice

Balance Beans

Press Here Game

24 Game: Integers

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Sites

MathPlayground

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

Sunday, January 01, 2017

Family Science

As essential academic skills, the "3 R's" (Reading, Writing, 'Rithmetic) dominate primary and secondary education at nearly every phase. This is as it should be.

However, a close second place should be assigned to STEAM subjects: Science, Technology, Engineering, Art, Mathematics.

Family science study can be a rewarding and fascinating family activity. Investing a relatively small amount of money in a scientific instruments of reasonable quality can open up entirely new worlds to impressionable and curious young minds. For example, keeping a good compound microscope at ready disposal in the family kitchen avails kids and adults alike of the opportunity to do real spur-of-the-moment science. Having a serious entry-level telescope standing by in the garage for use on those clear, dark, moonless nights when star gazing is most rewarding is a simple way to reify the infinite for youngsters and adults alike.

At all stages, the scientific method can be taught, utilized, and reinforced: Ask a good question, make a sensible guess about the answer, test that guess experimentally (or search the internet for information), confirm or adjust the guess based on what's learned, then repeat.

Having popular scientific magazines prominently displayed at home – and making sure your kids catch you reading and discussing them frequently – is another fun and engaging way to bring science into the home.

Why is it that so many scientists are amateur artists, musicians, painters, video programmers?

The arts are, of course, inextricably linked to the sciences. Affinity for one generally predicts affinity for the other. Music, dance, acting, visual arts, sculpture, architecture, and other diverse artistic disciplines intersect in fascinating ways with scientific fields ranging from physics and chemistry to anatomy and psychology.

Moreover, the dedication, sharply-focused thinking, and keen observational ability required to become a competent stage performer or fine artist are precisely the same "soft skills" central to advancement in STEM fields (but that's another post ...).

Parents can thoroughly enjoy home science along with their kids. The excitement of discovery is every bit as tangible and real when an adult first witnesses an oozing protozoa gobble up a bacterium as it is for a first grader or high schooler.

Full STEAM ahead!

For more ideas, see the following:

Science Tools and Manipulatives

Scratch Coding Resources

Robotics Toys, Aids, and Activities

The Miracle of Human Anatomy

Guidebooks: Science Experiments and Projects

Five Books Guaranteed to Make Kids Love Science

100 Best Science Books for Kids

Great Science Books for the Little Ones

Amazon's Best Selling Science Books for Children

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

Thursday, December 01, 2016

Daily Math Time

In addition to daily Reading Time and Writing/Drawing Time, parents should spend a small amount of structured fun time each day with each child on math.

From the earliest age, children can be taught to say "one, two, three" as they're lifted into the air or as they touch their index finger to each of three similar objects. Counting objects to ten, twenty, and more naturally follows, as the child gains facility and understanding.

Math has been called the science of pattern, and patterns are everywhere we look. Simple binary patterns like on and off, sitting and standing, quiet and noisy are all easy to point out and ask your child about. Later on, more complex patters like colors in kitchen tiles or lines on the floor can be explored.

Geometry is everywhere also. Various shapes from dots to lines to triangles to circles can be identified in the surrounding environment ("Can you find a green rectangle on the road up ahead?"A red octagon?"

Comparative relationships such as "more than," "less than," and "equal to" can be introduced to young children and reinforced in a number of different ways (short, shorter, long, longest, etc.).

Eventually, the two basic arithmetic operations – addition and subtraction – can be explained and demonstrated as putting things together to form one larger group or separating large groups into smaller ones.

Once basic math facts are memorized, simple story problems can be created and solved on the fly, and positive/negative numbers (and operations with them) can be introduced.

Math manipulatives can play a central role is making Daily Math Time interesting, engaging, and productive for all concerned.

As always, the focus is on fun, lots of hugs and high-fives, taking things slowly and at the child's own pace, experiencing tons of success, and quitting structured time early to keep them wanting more (start with just a few minutes a day, and build slowly from there).

Additional resources and ideas follow:

Math is Everywhere ... and it's Fun!

Math Fact Cards, Apps, Calculation Training Sites

Scratch Coding Resources

Early Math Toys, Aids, and Activities

Early Puzzles, Problem Solving, Math Games

Math Exploration Station

Math Worksheets and Drills

Children's Books for Teaching Math

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

Thursday, September 01, 2016

Scratch Coding Resources



Scratch is a fantastic way to learn algorithmic thinking and develop basic coding and program design skills.

Simple enough for young children to master (rudimentary reading skills are required), a Visual Programming Language (VPL) like Scratch is all you need at first and will take early learners a long way before they'll want or need to start writing their own code in a traditional language like Python or Java.

Books and online resources abound for those interested in using Scratch to get started on the path toward learning to code. Below are some I recommend:

Monday, August 01, 2016

Balancing Algebraic Equations



The metaphor of a pan-balance is often used to illustrate the definition of "equation:"

A declaration that two things have the same value (i.e. A = B).

It's an apt analogy, and a multitude of virtual pan-balances exist online to model solving simple algebraic equations.

The idea is that treating both sides of the pan-balance equally (i.e. doing exactly the same thing to both sides) maintains balance while allowing users to isolate unknown numbers on one side and known numbers on the other, from which the value of the unknown can be easily obtained.

It's a lot of fun to play around with balancing equations using a virtual pan-balance manipulative. In doing so, students develop an instinctive sense of how "=" works, a requisite component of intuitive "number sense" required for successful mathematical study.

After learning to balance simple equations using a virtual balance, students can progress to recording the balancing steps on paper – using algebraic notation – rather than carrying out the steps online. Eventually, they can do the steps mentally, using their working memory in place of pencil and paper.

Voila! Mastery!

Following are sites and apps I recommend for practicing balancing simple equations:

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Sites

Math Is Fun: Balance When Adding and Subtracting

Hoodah Math: Algebra – Balance Equations

Math Playground: Model Algebra

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Apps

The Fun Way to Learn Algebra: Hands-On Equations (iOS)

The Fun Way to Learn Algebra: Hands-On Equations (Android)

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