The Grapes Of Math

Every two-page spread features cheerful computer-generated art by Harry Briggs, depicting rows of camels, beaches full of seashells, and vines laden with grapes. Tang's witty little accompanying verses tickle the fancy even as they challenge the mind. Guided by hints in the verses, readers find solutions to each math riddle, by looking "askew" to find a pattern, subtracting in order to add, or adding numbers that have easy sums before clustering them to add in groups. Solutions and explanations are provided in the back of the book. With a little creativity and common sense, as opposed to formulas and memorization, Tang believes that all kids can do well in math--and have fun while they're at it. Readers of The Grapes of Math are already ahead of the game. (Ages 6 to 10) --Emilie Coulter

The riddles have fun names (like Fish School, Grapes of Math, Win-Doze, and For the Birds). My favorite riddles were Ant Attack and It's a Jungle Out There.

The left hand page contains a colorful computer illustration provided by Harry Briggs. These are large and appropriately ambiguous to hide the patterns a little. Color and shape are especially used well to complicate the counting problem. On the right hand page is a riddle, containing a clue at the end. "To help you find the right amount/Group by fives before you count" is one such clue. At the back of the book are the solutions to each riddle.

Pattern recognition riddles help you to see squares and rectangles within more complex designs. You are also encouraged to see diamonds as being squares rotated by 45 degrees. Many times a pattern is repeated, and that becomes the basis of multiplication.

Grouping encourages you to add common sums. An example would be sets of (8 + 3) + (6 + 5) + (4 + 7) = 33. By seeing that you can add to common subnumbers, you quickly find three elevens and then multiply by 3 in your head.

The two-step riddles have you determine what the total universe is (usually by multiplying) and then subtracting the exceptions to get the subset. One example has a building with regular intervals of windows, some lit and some not. How many are lit?

Most people never get to do the fun part of math, which is thinking up new and better ways to do things that build on imagination. By allowing your child to see the potential playfulness of what mathematicians do, this book will help create a better sense of what math is all about and that it can be fun.

After you have had a good time with the book, I suggest that you and your child create new puzzles for each other.

Build new knowledge from repeated patterns, wherever you find them!


More Math Please...   February 2, 2001
Roz Levine (Virginia)
26 out of 27 found this review helpful

Greg Tang and Harry Briggs have taken the stuffiness and boredom out of math with their very creative and inventive book, The Grapes of Math: Mind Stretching Math Riddles. Word problems, told in rhyme with hints to help with solutions, combined with detailed, vibrant illustrations, challenge youngsters to look at old counting problems in new ways. Instead of formulas and memorization, Tang and Briggs show kids to think in innovative ways. Techniques include looking for patterns, regrouping numbers, combining multiples and subtracting first, in order to add. With an answer key and easy to understand, common sense explanations at the end of the book, kids 6-10 won't even know they're solving math problems. They'll think they're just having FUN!


Grapes of Math   May 27, 2003
TeacherJay
27 out of 27 found this review helpful

This book is a collection of 16 illustrated poems. In the back are the complete solutions. Most of the riddles deal with the repeated addition style of multiplication, but with a twist. In an array of five rows and five columns, there may be three missing. So, in order to find the total of 22 quickly, the student is guided to multiply five times five and then subtract the three missing ones.

The rhymes are catchy with the question in a different color font to help students when learning to decipher word problems. There is also a tip to the mental math solution following the question. The goal of this book is assisting students in learning to manipulate groups of objects in their mind.

I would suggest using a few poems as examples with real manipulatives and demonstrating to students how and why the solution can be found mentally. Read the solution along with them and physically move objects to show how they can multiply and then add or subtract, or even regroup objects. When students begin to catch on, invite them to try some more from the book, and write out the solutions before checking their answers. Advanced students may even want to create their own puzzles and illustrations. As an extra challenge, they can write the poems to go along with it. All of Tang's poems are written in couplets and this has the potential for being a good integration with language arts.

Why 5 stars?:
Tang has crafted a wonderful set of thinking exercises for students to explore mathematical properties through the use of patterns. By practicing with these poems, hopefully they will change the way in which they "see" difficult problems and be able to visualize in a way that makes sense to them.


Many ways for teachers to implement this great book!   September 1, 2001
Anne Hunter, elementary school teacher (Great Falls, VA United States)
35 out of 36 found this review helpful

The Grapes of Math targets elementary students around the ages of 8-12, yet can be used in a simpler way with even younger children as an introduction to counting. There are sixteen colorful counting problems in the book, which are accompanied by a poem that provides a hint at counting the objects using a different method. Children are instructed not to count individual objects in the regular manner - "1...2...3..." - but rather to open their minds to new ways of perceiving the problems. Readers are encouraged to use creative methods, such as finding patterns, grouping, and using advanced problem-solving skills. These strategies direct students to solve a problem faster and more efficiently, and greatly incorporate the use of addition, subtraction and multiplication.

A teacher could use The Grapes of Math in many ways. One could post a problem each day, or week, on the board for children to solve at the beginning of a math lesson, to get students thinking mathematically, and on a higher level. Instructors could also break a class into pairs or small groups and photocopy the sixteen different problems, passing out a different problem to each pair/group. The children could have an allotted amount of time in which to come up with creative ways to count the objects on the page. After the pair/group has found several ways, they could vote on the most efficient method. Then the students could take turns sharing their solutions with the class. Furthermore, a teacher could share the book with his/her class, taking suggestions for the various problems and solving as a whole-class group. As a follow-up activity, children could design their own "counting problems," making colorful pictures with accompanying poetry to give their readers hints - such as the layout of The Grapes of Math. Then the children could trade with a partner and solve their partners' work.

I would highly recommend The Grapes of Math to future teachers. There are so many ways to implement this book, and it helps children who are learning multiplication a great deal. I enjoy the pictures, the poems, the creative solutions, and the challenges! I whole-heartedly rate this 5 STARS!


More Riddles, Patterns, and Problem Solving   July 15, 2005
Micole Roy (Sugar Land, Texas USA)
8 out of 8 found this review helpful

This great book provides the opportunity for children to enjoy mental math challenges. The riddles guide the reader to the author's solution. However, our son enjoyed looking for patterns and using his own clever ideas to quickly solve the problems. I gave this book to my six year old son the summer before he began second grade. He loved the rhymes and the pictures. He especially liked finding clever ways to count the objects without counting one by one. We made a family game of solving each riddle, working to see who would solve it first. Then we shared our strategies and reviewed the author's strategy which is presented in the back of the book.

I highly recommend this book! It provides good mental math practice in a fun way. It also reinforces the fact that there are many ways to solve a problem. Gifted children love patterns. This book builds on that and helps them to see additional ways in which finding patterns could be useful.