20 Jun 2014 14 Comments
If your kids want to use the same maths book every day for months, is it their curriculum? If so, I might have to stop writing about how we don’t use one. Because lately, both C(10) and J(9) have been reaching for Becoming a Problem Solving Genius every time I suggest maths.
Why my kids weren’t ready for these books 2 years ago
We used another of Ed Zaccaro’s books for a short while when C and J were 7 and 8. Why did we stop? I think it was a problem of timing, and attitude – my own and theirs. We’d spent two years lurching from one maths curriculum to another in search of something that could sustain their interest. We probably approached Primary Grade Challenge Math with a weary ennui not very conducive to success.
So what’s different now? Partly my kids are older, which means they can focus on trickier (more interesting) problems for longer. But I think it also has something to do with the maths playtime we’ve been enjoying for the last 14 months.
During that time we’ve approached maths from many different directions. We’ve used stories, videos, number talks, games, puzzles, and many, many hands-on activities. (Sue Elvis wrote a great post about approaching maths “backwards” in this way.) As a result, my kids no longer think maths is about procedures and drills. For them, it’s about solving puzzles. And they know that maths is everywhere, not just on the pages of an arithmetic workbook.
Why we love Becoming a Problem Solving Genius
The main reason Becoming a Problem Solving Genius is such a hit with my kids is simply that the problems are so interesting and varied. On any single page there’s a delightfully wide range of different maths topics.
Yesterday, for example, J(9) worked through level 3 of the chapter on Venn Diagrams. The first three questions alone relate to (1) quadrilaterals, (2) triangles, and (3) prime numbers, none of which we’ve worked on recently.
Knowing how J(9) likes to find things out for himself, I showed him our Maths Dictionary, where he looked up rectangles, squares and rhombuses. He then grabbed the Geomag and created quadrilaterals according to the definitions he’d read.
For the triangles question, he decided to draw as many different types of triangles as he could think of and then try to categorise them, before he looked up the definitions of scalene, isosceles and equilateral.
When we got to the question on prime numbers, I showed J(9) the Sieve of Eratosthenes, after which he easily allocated the primes to their appropriate sets in the Venn Diagram.
Most of the problems in Ed Zaccaro’s books involve arithmetic calculations, so I don’t worry about my children not practising the basic mathematical operations. Rather, they’re being used in a meaningful context. (C(10) uses Math Mammoth now and again to practise her long division, and when J(9) feels the need to practise specific skills I’ll offer him appropriate materials, too.)
C(10) loved the chapter in Becoming a Problem Solving Genius on logic. (So did J(9), but after enjoying his delightfully “creative” answers I made a mental note to return to the chapter in a year or so!) And they both loved “Don’t be fooled (Counterintuitive thinking)”.
Our success with Becoming a Problem Solving Genius inspired me to pull our other Ed Zaccaro books off the shelf. J(9) was beginning to struggle with the higher levels of some topics, so we switched to Primary Grade Challenge Math to consolidate and fill gaps in topics like decimals, square roots and percentages.
Then there is Challenge Math for the Elementary and Middle School Student, which is aimed at slightly older children. It, too, covers a huge variety of maths topics. I haven’t used Challenge Math with either of my kids yet, but I’m going to show it to C(10) soon. I think she’ll like it. The contents range from decimals, fractions, percents and area to acceleration, simultaneous equations and astronomy!
From the back of the book:
“Difficult concepts in areas such as statistics, probability, trigonometry and calculus are explained in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the child and any teacher whose math skills are a little rusty.”
Challenge Math for the Elementary and Middle School Student
(That’ll be me with the rusty maths skills and – despite A grades – total ignorance of what calculus, for example, is actually for. At school I learned to follow the procedure and move on. Understanding was, as far as I could tell, irrelevant.)
What I like about Khan Academy
Khan Academy represents a massive step forward in open source learning. It makes maths education available to a many, many people who wouldn’t otherwise have access to it. And I’m sure it compares favourably to curricula people pay hundreds of pounds for.
It’s is a very flexible resource. You can choose to learn recreational math, or math by grade level, or a variety of skills at once, in World of Math. Or you can focus on higher level skills like trigonometry or geometry. It’s possible to switch between options at any time.
I like that you can level up multiple skills with Mastery Challenges. And the coach dashboard, which allows you to see what your students have been doing, is very sophisticated. You can see what lessons your student has completed, how long they took, what clues they had, whether they watched any videos, and how many attempts it took to get the right answer. (Although personally I feel a bit Big Brotherish when I do that. I prefer to just ask my kids what they’ve been doing. We can look at the “dashboard” together if it helps.)
Earlier this year I wondered if Khan Academy might be the ideal way for my autodidactic 9-year-old to learn maths. He agreed to give it a go, and at the same time I decided to use Khan myself to review what he’d be covering. I also thought it would be useful to look at what C(10) “ought” to be able to do (since we weren’t using a curriculum) and to brush up on my own maths skills.
Why Khan Academy didn’t work for my 9 year old
I used Khan Academy every evening for several weeks, and by the end I was in complete sympathy with J(9), who was grumbling about how boring it was. The material is dry, lacks context, and the problems involve the same sort of abstract, unlikely scenarios that have blighted maths textbooks for decades. This is not a living maths curriculum!
How I use Khan Academy
Having said that, I’m not completely discounting Khan Academy as a resource.
Firstly, I’m using it to review topics my children are learning. By working through their respective grade levels I can remind myself of what they “should” know and make a note to fill any gaps (including in my own skills!).
Secondly, the videos are useful when you want to quickly learn or review a specific concept. For example, when C(10) was working out the area of rectangle recently, she wondered, “So how do we calculate the area of a triangle?” I remembered the formula half × base × height, but C(10) always wants to know “why?” and I wasn’t sure I could answer her. A short Khan Academy video gave me of the mathematical proof I was looking for and I was able to explain it to C(10).
C(10), by the way, didn’t try Khan Academy. She was enjoying our buddy maths too much to contemplate giving it up.
Perhaps we’ll come back to Khan Academy when the children are older, but for now it’s not for us.
How about you? Have you tried Khan Academy or Mr Zaccaro’s books? What works best for your family? I’d love to hear about your experiences.
Read more about how we do living maths here.
This post contains affiliate links. I purchased my own copies of all the books.
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