Tuesday, December 01, 2015

Fraction Toys, Aids, Activities



Aside from "word problems," nothing mathematical perplexes and dismays students more than fractions.

Most of this unfortunate and unnecessary dread stems from a lack of "fraction sense," an insufficient familiarity with fractions, what they are, and how they work.

There are numerous ways to help students acquire fraction sense. Following are several of my favorites:

Everything's Coming Up Fractions with Cuisenaire Rods

Rainbow Fraction Squares

Rectangular Fraction Decimal Tiles

Rainbow Fraction Circles

Rainbow Fraction Circles (Marked)

Decimal Squares

Decimal War Playing Cards

Fraction Bars

Fraction Bars Playing Cards

Fraction Towers

Fraction Tower Card Game

Fraction Flash Cards

Fraction and Decimal Dominoes Game

Math Stacks Fraction Equivalence Game

-----


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

Sunday, November 01, 2015

Alphabet Toys, Aids, Activities



From a very early age, parents can make a game of learning the ABC's.

There's the song, of course, which is a great way to start. Even better if sung slowly while reading a favorite alphabet book and touching your child's index finger on each letter, in order, as sung. Refrigerator magnets can be ID'd and traced using your child's index finger, to help with recognition, memory, and (later) proper letter formation when writing. Once the alphabet is mastered, young children can learn sounds typically associated with letters along with a few words beginning with each letter and sound.

Immersion is a great way to learn anything, and so it goes with reading, writing, math, or anything else. Having your home filled with fun and interesting learning activities is one good way to make learning a basic family value.

Learning the alphabet is game number one! Below are some ideas to help get things going:

Alphabet Bulletin Board Cards

Self-Correcting Alphabet Wooden Puzzles

Alphabet Puzzle

Alphabet Jumbo Floor Puzzle

Spot it Alphabet

Alphabet Slap Jack

-----


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

Thursday, October 01, 2015

Make Learning a Cherished Family Value

Children will generally follow any regular pattern set by their parents.

They won’t crave sweets if their diet doesn’t contain them. Kids will be active if they see their parent exercise regularly. They’ll love books if you read lots of good books with them, drawing/writing if parents draw/write with them daily, and doing math if you regularly count, add, and solve simple story problems with them.

It’s up to parents of young children to decide which values they wish to pass on, which rules and activities will support those values, and how best to habituate those family rules and activities.

My strong recommendation is to establish learning as a basic family value.

An excellent way to do this is to strengthen reading, writing, and arithmetic skills by instituting, from a very early age, special times to engage in fun math games, drawing/writing activities (and later keyboarding), and of course reading great books with your young children. Organized activities involving science can even become a fun part of the daily routine.

The younger the child, the shorter the attention span, and the more important it is to keep kids interested and happily engaged. Keep sessions quite short, especially at first (five minutes max), and measure success by how much fun you and your child have during that time, not by “how well” or “how quickly” the child is catching on. Keep the atmosphere light and easy, slowly introducing reading, writing, and math as neat things to do with Mom or Dad, presenting new skills as games to play and activities to enjoy together, with plenty of happy silliness and loads of lighthearted fun.

A regular schedule works best in habituating learning times; same time each day is ideal. These early “lessons” are all play, and should be tailored to the personality and preferences of each child. Although you may have a list of teaching goals to loosely follow, this isn’t about checking off boxes, it’s about fun! Model enthusiasm for the activities. Follow your child's lead, respect your child’s attention span, and watch for signs of waning interest. Less is more; quit early, and leave them wanting an encore. Daily regularity and having fun matter far more than length of sessions.

Start as young as your child can enjoy math, writing, and reading-related activities. As soon as he or she can sit up on the floor, you can hold your child in your lap while you read a story book, do some fun scribbling together, and practice saying numbers and counting to three or higher, always with a big smile and lots of giggles, hugs, and high-fives! Just a minute or two at a time is plenty, to begin with. Later, you’ll be able to spend 5-10 minutes per day per child on each key area: reading, writing, and math.

This kind of special daily parent-child bonding time deepens relationships and cements learning as a basic family value. “In our family, we enjoy learning together.” Essentially, you’re taking time to play with your child very day; you just happen to be doing things that are at least loosely academic at the same time.

If possible, it's wise to set up a dedicated "Family Learning Area" with a bookcase, table, chairs, and necessary learning materials. It's important to stay well organized. Invest in plastic tubs and containers to provide homes for all the various items, and teach your children that putting things away is an essential part of playtime.

Your child will soon associate positive, close, familial feelings with the activities. Over the long term, these feelings will expand to include learning and studying in general, which is the ultimate goal.

At that point, you’ve done your job as your child's first teacher. Your children love to learn.

-----


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

Tuesday, September 01, 2015

Math is Everywhere – and it's Fun!

Whether professional educators or not, a child's parents are his first and most important teachers.

Young children take pride and have fun doing practically anything that earns them a big smile and lavish love and approval from parents. We teach our kids by our reactions what is good and what isn't; they watch our every move for help in sussing out the ever-new world around them.

One of the most important things to show your young child is that math is everywhere, and it's fun!

After learning to recite number names (one, two, three, four ...), toddlers can be taught to count objects by touching them as they deliberately recite the number names, in order, till they get to the last object.

Suddenly, a world of countable objects opens up! Socks can be counted while doing laundry. Stairs can be counted even and odd while a child ascends or descends with Mom or Dad. Toes and noses can be counted. Apples in the fruit bowl can be counted. So can petals on a flower, flowers in a vase, and vases in a cupboard.

Geometry, too, is all around us. Straight lines and curves dominate a child's landscape. Rectangles abound. So do circles. Triangles are harder to find, but all the more treasured for their rarity when they do show up. Pots and pans are small, smaller, smallest, big, bigger, biggest. Patterns on kitchen tiles can be described ("White, blue, white, ...").

Until children reach first grade, at-home learning is ALL about fun (then, till third grade, it's almost all about fun). It's not about accomplishing, or milestones, or checklists, or any of that. Parents should focus entirely on making daily math time, reading time, and writing/drawing time a fun family activity that includes plenty of praise, love, and laughs. There'll be lots of time later to focus on results and home-work.

To keep the emphasis on fun, structured times should be quite short when teaching preschoolers at home: a few minutes is fine, 5-10 minutes max. Try to find multiple opportunities throughout the day to improvise 5-second learning tasks that children can easily accomplish successfully ("How many chairs at that table? Can you find two blue sweaters?"). Quit early, and leave them wanting more!

The most effective learning happens when both students and teachers are enjoying themselves. At first, and for quite some time, it's nothing but home-play, with success measured in giggles, smiles, hugs, and high-5's.

-----


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

Saturday, August 01, 2015

Start Early with Internships and Career Development

Long gone are the days when good jobs could be had with nearly any college diploma.

Making the most of summer vacation months should no longer be considered optional for serious high school and (especially) college students. Nowadays, it’s increasingly important to carefully and thoughtfully use summers preceeding grades 10-16 to gain valuable work experience, do job and career research, and/or build work-related skills that will help students stand out when applying for highly competitive internships and other valuable academic and professional opportunities.

Initially, in high school, almost any job will do. But as time goes on, try to focus on significant internships in careers you find intriguing. Use these work experiences to build your resume as you check out interesting fields from the inside, narrowing the list to a few good options before you begin college. Showing this initiative early on will make your college applications stand out, help you make the right choice of college major, and put you well ahead of the pack when applying for important college internships.

Haven’t found a great summer job or internship? No problem!

Learn Excel. Gain CPR and first aid certification. Earn a Python coding credit. Contact professors at local colleges and ask if you can assist them in their research.

The test is this:

The proposed summer activity should be significant and targeted enough to stand out as a useful line on your resume.

*Note: NTAs (Non-Teenage Activities) earn extra credit; these are activities not normally done by teenagers (e.g. professional skills certification, research with local professors, significant leadership or business experiences, etc.).

The bad news is that American students no longer rank head and shoulders above students from other countries in terms of educational, economic, and career opportunities. International competition is stiff, and unstructured, playful summers after middle school are a thing of the past for forward-thinking American teenagers.

The good news is that this isn’t really bad news. "Competition" can be energizing. “Fun” is at least half attitude. Even the most mundane chores can seen as fun, and done with alacrity, from the right point of view and with the proper attitude. Well-crafted, productive summers can be fascinating, purposeful, life-changing experiences.

Starting in high school, finding and completing meaningful summer work and career development experiences can be as at least as interesting and invigorating as most things most students actually do during summers off.

"The early bird catches the worm," and many are the advantages for enterprising students disciplined enough to get an early start on life goals.

-----


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