The Stack Model Method (Grades 3-4)

Singapore Math 2.0

Book 1
MathPlus Publishing
2
Free sample

The Stack Model Method—An Intuitive and Creative Approach to Solving Word Problems (Grades 3–4) is the first title of a two-book series in Singapore math publishing, which comprehensively reveals the beauty and power of the stack model method as an intuitive and creative problem-solving strategy in solving non-routine questions and challenging word problems.


Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.


Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.


Features of the Singapore math playbook are:

Look-See Proofs for Kids

● Visible Thinking in Mathematics

● Advanced Visual Literacy

● Creative and Higher-Order Thinking Skills

● Alternative Solutions and Thought Processes


The Stack Model Method would benefit all grades 3–4 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 3–4 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide. 

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About the author

Yan Kow Cheong (kcyan@singaporemathplus.com and @MathPlus) is a math coach, writer, and editor. A math consultant for MathPlus Consultancy, he specializes in both adult and recreational math education. He conducts recreational and competition math courses and workshops for schools and enrichment centers, and educates the public against innumeracy and pseudoscience. 


Kow Cheong has ghostwritten and edited both local and foreign textbooks and assessment titles for students, teachers, and parents. Some of his publications are Additional Maths 360Geometrical Quickies & TrickiesAha! Math, and CHRISTmaths: A Creative Problem Solving Math Book. (amazon.com/author/yankowcheong)

His academic interests involve research in math education, in particular, the psychology of learning and teaching mathematics, and creative problem solving. He is a life member of both the Singapore Mathematical Society (SMS) and the Association of Mathematics Educators (AME). He is also a member of The Association of Christians in the Mathematical Sciences(ACMS).

For information about the author, click https://sites.google.com/site/mryankowcheongssite/

Fan Page for the Mathematical Quickies & Trickies series, click fb.com/singaporemathplus

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Additional Information

Publisher
MathPlus Publishing
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Published on
Jan 7, 2015
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Pages
212
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ISBN
9789810938345
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Language
English
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Genres
Education / Teaching Methods & Materials / Mathematics
Juvenile Nonfiction / Mathematics / Arithmetic
Juvenile Nonfiction / Mathematics / Fractions
Juvenile Nonfiction / Mathematics / General
Juvenile Nonfiction / Mathematics / Geometry
Mathematics / General
Mathematics / Recreations & Games
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Content Protection
This content is DRM protected.
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Read Aloud
Available on Android devices
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See entire series

The Stack Model Method—An Intuitive and Creative Approach to Solving Word Problems (Grades 5–6) is the second title of a two-book series in Singapore math publishing, which comprehensively reveals the beauty and power of the stack model method as an intuitive and creative problem-solving strategy in solving non-routine questions and challenging word problems.


Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.


Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.


Features of the Singapore math playbook are:

● Look-See Proofs for Kids

● Visible Thinking in Mathematics

● Advanced Visual Literacy

● Creative and Higher-Order Thinking Skills

● Alternative Solutions and Thought Processes


The Stack Model Method would benefit all grades 5–6 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 5–6 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide.  

The Stack Model Method—An Intuitive and Creative Approach to Solving Word Problems (Grades 5–6) is the second title of a two-book series in Singapore math publishing, which comprehensively reveals the beauty and power of the stack model method as an intuitive and creative problem-solving strategy in solving non-routine questions and challenging word problems.


Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.


Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.


Features of the Singapore math playbook are:

● Look-See Proofs for Kids

● Visible Thinking in Mathematics

● Advanced Visual Literacy

● Creative and Higher-Order Thinking Skills

● Alternative Solutions and Thought Processes


The Stack Model Method would benefit all grades 5–6 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 5–6 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide.  

Singapore’s bestselling Mathematical Quickies & Trickies, which has sold over 90,000 copies locally, contains more than 300 nonroutine problems to enhance students’ mathematical problem-solving skills. With many creative worked examples and questions, and with cartoons sprinkled throughout the book, Mathematical Quickies & Trickies would appeal primarily to these audiences:

* grades 5-7 students and teachers looking for some fertile trick and tricky questions;

* mathletes preparing for local and regional contests and competitions;

* problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false.

With proper insight, you’ll learn how to solve these tricky problems almost instantly, whose solutions are almost never the correct ones. You need no longer be caught off-guard; instead, you’ll learn to solve these questions confidently—how to tame these counter-intuitive questions into routine ones.

Contents
1. Mental Computation I
2. Mental Computation 2
3. Number Series
4. A Tricky Way with Fractions
5. Test Your Calculator Proficiency
6. Simplifying a Complex Fraction
7. Recurring Decimals
8. Is Zero an Even or Odd Integer?
9. Casting Out Nines
10. Be a Calculator Expert
11. Division by 9
12. Number Riddles
13. Ten Steps to be Math Smart
14. Shortcuts a la Trachtenberg
15. Geometrical Quickies 1
16. Geometrical Quickies 2
17. Geometrical Quickies 3
18. (Sugar + Coffee) + Milk = Sugar + (Coffee + Milk)
19. Applications of Number Laws
20. Law of One
21. Distributive Law
22. More Applications of Distributive Law
23. The Joy of Guesstimation
24. Are You a Fermi Disciple?
25. Bravo Singapore
26. Lightning Calculators
27. Geometrical Quickies 4
28. Some Calculator Quickies
Answers & Solutions
Bibliography & References

Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions
Audiences: Suitable for Grades 4-7 (or Primary 4-7 levels)

A recreational-and-problem-solving math book, CHRISTmaths: A Creative Problem Solving Math Book attempts to bring together the joy (or spirit) of Christmas and the spirit (or joy) of mathematics.

Looking at topics linking Mathematics and Christmas—what the queen of the sciences and the king of the public holidays have in common—CHRISTmaths will not only appeal to a Christmas or Christian audience, but also to any problem solvers who enjoy mathematics recreationally.

CHRISTmaths should appeal to

• creative problem solvers who are bored by drill-and-kill math titles, and who desire to get an intellectual kick out of solving non-routine questions;

• mathletes who long for some creative mathematical problem solving to tickle their mathematical bones.

CHRISTmaths hopes to give readers the opportunity to experience the Ah, Aha! and Ha Ha of Mathematics.

Contents
Preface
Biodata of 25
B.C. and A.D.
Are You Christmas-Literate?
The 12 Puzzles of Christmas
Santa’s Itinerary
12 Daffynitions of CHRISTMAS
A CHRISTMAS Spell
Guesstimation on Christmas Day
7 Beautiful Xmas Series
12 Challenges @ Christmastime
A Mathematician’s Musings on Xmas Day
Mathematical Graphiti I
Xmas Philamath
12 Myths about Christ and Christmas
Mathematical Graphiti II
Mathematical Graphiti III
25 No-Frills Christmas Crackers
Did You Know….
The Mathematics of Christmas
25 Mathematical Quickies & Trickies
Was Pythagoras a pre-Christian Christian?
A Formula for Christmas Day
Q&A about Christmas
Clausophobia and the Rest
Mathematical Graphiti III
Mathematical Graphiti IV
Number of Zeros in 1 × 2 × 3 ×⋯× 24 × 25
25 Math Things You Can Do on Christmas
1 × 2 × 3 ×⋯× (n − 1) × n ends in 25 zeros
Taking Up Your Cross
Mathematicians Christened
Number of Digits in 2525
Christmas Tangrams
CHRISTMAS By Numbers
What day Is Christmas in 2025?
The Mathematical Fathers
The Answer Is Not 25
Christmas Countdown
A Christmas Potpourri
CHRISTMAS Alphametics
Mathematical Graphiti IV
Celebrate Father Christmas Week
25 Illegal Things You May Want to Do on Xmas
The Twelve Days of Christmas
A Green Christmas
Answers/Hints/Solutions
Bibliography & References 

Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions
Audiences: Suitable for Grades 5-10

This long-awaited sequel of Mathematical Quickies & Trickles comes with many creative worked examples and questions, with cartoons sprinkled throughout the book to keep in line with the same irreverent and fun spirit of the previous book.

In addition to 300+ trick and tricky questions, More Mathematical Quickies & Trickles comes with more than 25 five-minute enrichment mathematics items, aimed at enhancing the mathematical problem-solving skills of problem solvers.

You won’t only be exposed to different problem-solving techniques, commonly used in answering math contests and competitions questions, but also learn to appreciate elegant or intuitive solutions.

More Mathematical Quickies & Trickies would appeal primarily to these audiences:

* grades 6-8 students and teachers looking for some fertile trick and tricky questions;

* mathletes preparing for local and regional contests and competitions;

* problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false.

Contents
1. Creative GST
2. Are You Calculator-Smart?
3. What Is the Easy Way?
4. The Magic of Three Consecutive Numbers
5. Twitter Math @MathPlus
6. What Is 27 x 37, Really?
7. Humanizing 1, 2, 3
8. A Mathophobia Kit
9. WITs: 13 Ways to Attain Mathematical Excellence
10. Facebook Math: Numeracy vs. Literacy
11. Thou Shalt Not Divide By Zero
12. Math Jokes to Relieve Stress
13. Look-see Proofs
14. Some PhD Math Questions
15. Mathematical Prayers
16. The Largest Product
17. What’s Wrong?: A Comedy of Mathematical Errors
18. The Aha! Myth
19. Sam Loyd’s Toughies
20. The Tuesday Boy Problem
21. What Is 1 + 1, Really?
22. In Love with Cryptarithms
23. Mathematical Kiasuism
24. The Mathemagic of 142857
25. The Lighter Side of Singapore Math
26. K C Yan’s Laws & Lores
27 Flee and Free from the FREE
Answers/Hints/Solutions
Bibliography & References

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