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Hard Math for Elementary School, by Glenn Ellison
PDF Download Hard Math for Elementary School, by Glenn Ellison
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Hard Math for Elementary School is new category of math book. The author, MIT professor Glenn Ellison, calls it a math enrichment textbook. The idea is to make it easy for teachers or parents to supplement what kids are getting in school with with complementary lessons that are harder, deeper, and more fun.
Hard Math has chapters to accompany most textbook topics: addition with carrying, multiplication, fractions, etc. It covers other important topics - prime numbers, counting, probability - that are being squeezed out of many curricula. And it has chapters on topics which may not be as important -- tiling floors, solving number puzzles, making polyhedra out of marshmallows and toothpicks -- but that make the book more fun and develop higher-level reasoning skills.
Hard Math can be used in many different ways. Some parents will enjoy reading it together with their child. A teacher can give the book to an exceptional student who could read through it on her own whenever she's done early with the regular math lesson. Or a teacher could treat the book as a set of lesson plans for his or her top math group: each section of the book can serve as a set of lecture notes and the students could then work separately or together on the corresponding workbook page. Hard Math can similarly be a blueprint for an after school math club.
Hard Math is designed to be accessible to very advanced 3rd graders. But Hard Math is very hard. Most parents will find that there's a lot in it that they don't know and most advanced kids will be better off waiting until at least 4th grade to try it.
A workbook (sold separately) contains over 100 challenging worksheets to reinforce the lessons of each section. An answer key for the workbook is also available (and cheap).
- Sales Rank: #78464 in Books
- Brand: CreateSpace Independent Publishing Platform
- Published on: 2013-05-29
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .54" w x 8.00" l, 1.06 pounds
- Binding: Paperback
- 238 pages
- Great product!
Review
"Does math class make your child feel like a hamster in a cage stuck in a wheel of an endlessly repetitive "spiral curriculum" with little to challenge or inspire her? If you answered yes, then this book could provide a much-needed breath of fresh air. ... Written in a good-natured conversational style, Hard Math for Elementary School lays the foundation for elementary school students to develop the tools and habits of confident, capable, and curious problem solvers." --Mary O'Keeffe, founder, Albany Area Math Circle
"The author has excellent taste ... The book is full of great insights and tricks which would make even a professional mathematician smile. ... I wish that the book would replace all other books currently used to teach math to elementary school kids."-- Richard Schwartz, Chancellor's Professor of Mathematics, Brown University. Author, You Can Count on Monsters and Really Big Numbers
"... well written based on Prof. Ellison's invaluable experience teaching and achieving wonderful results in every single stage: elementary school, middle school, and high school."-- Zuming Feng, Coach and Team Leader, U.S. International Math Olympiad Team. Founder, Idea Math.
About the Author
Glenn Ellison is the Gregory K. Palm Professor of Economics at MIT. He is also the parent of three daughters and has spent many hours coaching middle school math teams and working with informal groups of younger and older kids in his kitchen classroom.
Most helpful customer reviews
38 of 39 people found the following review helpful.
An excellent math enrichment book - highly recommended
By Dina Mayzlin
I was lucky to have access to this book in manuscript form, and I used this book as basis of discussion for an after-school "Challenge Math" class at a local public elementary school. We had kids from grades 3 - 5.
I can not go far enough in complimenting the book. It introduces very challenging and interesting material in a fun way. What I like about the textbook is that it really expands the kids' understanding of what one can do with math. (It is not uncommon for kids to say "Wow" once they understood an especially cool concept). For example, one of my favorite chapters in the book is on "base 8" or how the number system would look like if we counted by eights instead of tens. The book refers to this as Bart Simpsons' world since the Simpson characters have four fingers only. This material is usually not covered in school curriculum. Introducing this to relatively young kids fulfills many functions: 1) it is pretty cool in a mind-blowing sort of way, 2) it forces kids to be flexible in their thinking, and 3) it makes them realize that math requires deep thinking and not just memorization. The fact that the author is able to explain this sort of material to young kids is amazing, but it really does work.
The textbook also comes with a workbook - Hard Math for Elementary School: Workbook - which has a bunch of challenging and fun problems. The problems are leveled -- the first few are relatively easy to do if the student understood the basic concept, but the problems get very challenging in the end. I would highly recommend the workbook. What I typically did was explain a small section of a chapter and then had the students do a worksheet.
I am so excited that this book is finally out! I have been recommending it to all my friends who have young children. It is really a very unique and wonderful book, which hopefully will lead to a lifetime of math enjoyment for kids. As a testament to this, I have to add that I learned a lot from reading the book as well, which I am sure will be the case for many parents and teachers as well.
Dina Mayzlin, Associate Professor of Marketing at USC and Challenge Math Coach
19 of 19 people found the following review helpful.
... are professionals (engineer and attorney) and did not feel like our daughter was being challenged enough in math at ...
By Amazon Customer
My husband and I are professionals (engineer and attorney) and did not feel like our daughter was being challenged enough in math at school. She was tested for gifted, however, the teachers were still not supplementing her enough. She is currently in 3rd grade. We bought this series to work at home in addition to school work and it is EXCELLENT. She is very proud to show her friends her "Hard Math". Parents and teachers who have seen the textbook think it is too "hard", but that is exactly why we like it. We only spend 1 to 2 hours a week on the book and we are going at a nice pace. Highly recommend it if you want something more to work on with your kids.
12 of 12 people found the following review helpful.
Excellent book (minor tip that some parents might find helpful)
By Dr Phill
I bought this book for a second to third grader who wasn't being challenged enough by math at school. This book is excellent and covers topics that wouldn't be covered at school (either ever or until much later). I actually like the title, because it just challenges the kids and gives them real joy when they're able to figure it out while not disappointing them if they're not able to.
That has all been said by other reviewers but the reason why I felt compelled to write a review was my experience with the chapter on "base 8" arithmetic. I have some background in computer science and am very familiar with a binary system (base 2). I (and possibly the kid as well) absolutely loved the chapter - both from a mathematical as well as a sociological perspective (different people can talk and think differently based on their unique cultural experiences). However, there was one unintended consequence. The chapter uses Simpsons as an example of a society that might use a base 8. At which I felt obligated (encouraged by endless stream of "pleases") to introduce my kid to the Simpsons show. Not a wise parenting decision :-). I hadn't watched much of the show myself and even shows I watched before feel very different to me now as a parent. Simpsons is not an appropriate show for an 8 year old (or even a 10 year old for that matter). So, if you are in a similar situation I would recommend you to skip that chapter until the end of the book. Even from a complexity of concept perspective, I think it belongs much later in the book.
Having said that I must say that I truly am grateful for Glenn Ellison to have taken the time to put this book together. Chances are that any money he's making from this book is not commensurate with the value of his time. However, Glenn you do have a bunch of indebted parents.
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