MATHEMATICS

 

GRADE

LEVEL               TITLE                                                                             AUTHOR                   Book #

ELEMENTARY

 

5-8                    3 . 2 . 1 Contact                                                            Children’s Television               M-52

Workshop

                        This guide examines the science and mathematics behind a topic currently in the

                                news such as overpopulation of the planet, alternative energy sources, effect of

                                drugs on the brain, water pollution, AIDS, and DNA.

 

3-8                    Animals As Our Companions                                       NCTM                                       M-40

                       

                        The sixth annual World’s Largest Math Event was held on April 28, 2000.

                                The theme was “Animals as Our Companions.” Since we share the planet with

                                animals, even animals in the wild are our companions. This year’s theme

                                encourages students to explore the mathematics of animals, from using

                                geometry to construct a doghouse to using decimals to compare the

                                sprinting seeds of wild animals.

 

K-12                 Architecture in Education:                               Foundation of Architecure                   M-51                                                                                                                 Philadelphia

                        The concepts in this program reflect three broad areas of study:

                                perceptual, social and technological. This is a comprehensive approach

                                to learning and forms the basis for the interdisciplinary, sequential

                                character of the program.

 

2-3                    Awesome Addition and Super Subtraction                  AIMS                                        M-69

 

                        This guide builds the foundation for greater understanding of addition and

                                subtraction through: building a strong sense of place value, developing

                                meaning of the operations with and without regrouping, exploring money

                                in the context of a base-ten number system, using addition and subtraction

                                in problem-solving situations, and engaging in playful and intelligent practice

                                with a focus on 100 percent accuracy.

 

K-5                   Balanced Assessment for Mathematics                        Dale Seymore Publishing         M-12

                                                                                                                                                             M-13

                        This package offers a wide range of assessment tasks that allow students

                                to demonstrate their ability to reason and communicate mathematically.

                                Mathematics content covered is patterns, function and algebra; number and

                                quantity; geometry;  data, statistics and probability.

 

K-6                   Build It! Festival                                                           GEMS

                                                                                                            Philip Gonsalves                      M-36

                                                                                                            Jaine Kopp

Weaving mathematics concepts into engaging, hands-on construction activities,

this GEMS festival guide includes a wide assortment of classroom learning-station

activities that emphasize construction, geometric challenges, and spatial visualization.

Introductory activities, such as Architect/Builder, involve students in free exploration

of materials and lay the foundation for such mathematical challenges as

Create-A-Shape, Dowel Designs, Polyhedra, Symmetry, Tangrams, and

What Comes Next?

 

1-2                    Counting on Coins                                                       AIMS                                        M-70

 

                        This book provides concrete experiences in which students will identify and

                                compare the values of coins; determine combinations of coins; and use coins

                                in problem solving, real-life situations.

 

 

 

 

 

 

K-4                   Exploring Equivalence in                                            Sally K. Roberts, Ed.D.             M-53

Elementary School Mathematics        

 

                        A professional development module developed with support from the Michigan Department

of Education Goals 2000 Benchmarks Clarification Project – MI CLiMB in collaboration

with Macomb ISD and the Michigan Council of Teachers of Mathematics.

 

3-6                    Fabulous Fractions                                                      AIMS                                        M-19

 

                        Fabulous Fractions provides hands-on experiences using five helpful models to

                                develop meaningful and in-depth understanding of fractions. Some of the ideas

                                students will explore include: ability to recognize fractional numbers as equal parts

                                of a whole and as equal parts of a group or set; understanding the relative size

                                of fractions; ability to recognize and name equivalent fractions; experience with

                                operations on fractions in problem solving.

Posters come with book when you check it out.

 

K-1                   Fall Into Math & Science                                             AIMS                                        M-20

 

Fall Into Math & Science is a collection of experiences that relates to the fall season

of the year and the corresponding holidays. Activities include collections of real

graphing experiences,  counting, measurement, and patterning with everything

from apples, leaves, nuts, and shoes to grapes, crackers, ghosts, and raisins.

Included are many extras such as bulletin board ideas, art activities, and

language arts experiences.

 

K-9                   Family Math                                                                 Jean Kerr Stenmark,               M-42

Virginia Thompson

Ruth Cossey    

Hands-on activities using household supplies that parents and their

children can do to together to enhance mathematical skills.

 

4-9                    Finding Your Bearings                                                 AIMS                                          M-22

 

Finding Your Bearings contains activities that integrate geography, math, and science.

Students problem solve as they study maps and globes through hands-on activities such

as Fire on the Mountain, Surf and Sand Toss, Global AdVENNtures, The Forecast for

Today, Shrinking Boundaries, Navigating Numerically, Bird’s Eye View, Physically

Featured, and I’ve Got the World on a String.

 
K-4                   Group Solutions: Cooperative Logic Activities            Jan M. Goodman                     M-37

                         

 

This unit brings cooperative learning to the fore in highly motivating ways, providing young

students with early and valuable experience in working and solving problems together.

K-5                   Hands on Math:                                                            Educational Insights                 M-5

                                    Primary Skills

                                    Intermediate Skills

                                    Readiness Skills

 

                        Three booklets containing math worksheets that provide practice in basic math skills.

 

3-5                    Hardhatting in a Geo-World                                         AIMS                                        M-63

 

                        Hardhatting in the Geo-World  is divided into three sections:

Structures which investigates stable designs; Measurement which

                                uses non-customary and customary units to investigate length, mass, volume,

                                time, and angles; and Geometry which creates an awareness of the

                                pervasiveness of geometry in our world.

 

K-3                   High/Scope Curriculum Series: Mathematics              Charles Hohman                             M-44

 

Over 100 grade specific hands-on activities designed for children’s

cooperative small group learning.

 

3-6                    In All Probability                                                         Celia Cuomo                            M-38

                        Investigations in Probability and Statistics

 

If your students groan at the mention of statistics, or go blank when you bring up

probability, you might ask what they want to be when they grow up. Wall Street mogul?

The next Freud? TV meteorologist? Well, there you go: they'll be using statistics and

probability all the way up the ladder. This unit makes these subjects fun, and makes

                                real-world connections students will use all their lives.

K-2                   It’s About Time                                                            AIMS                                        M-71

 

                        This book is a series of investigations designed to build a conceptual

                                understanding of time and it’s measurement.

 

K-2                   Looking at Lines                                                          AIMS                                        M-24

 

Drawn from science, business, geometry, and other real world phenomena, the

activities in Looking at Lines have students experience important linear function

concepts in their natural setting. Hands-on involvement heightens student interest

and deepens understanding. Students will discover the common thread of linear

function concepts as they investigate stacking cups, tying knots, bouncing balls,

expanding squares, calling long-distance, floating straws, etc.

 

2-5                    The Magic of a Million                                                 David Schwartz                       M-45

David Whitin

Hands-on activities and math investigations inspired by David Schwartz’s

books titled How Much is a Million and If you Made a Million.

 

3-12                  Making the Connection                                                WEPAN                                    M-41

 

                        This unit has students design, build and test solutions to problems.

                                The goal is for students to understand the basics of engineering associated

                                with the construction and  packaging of items to preserve, market, and

safely deliver products; exploring energy conversions and needs; handling large

system based problems; test a method of transferring information securely.

 

4-5                    Marvelous Multiplication and Dazzling Division          AIMS                                        M-68

           

                        This collection of hands-on experiences seeks to address both the

                                conceptual understanding of the processes of multiplication and division

                                as well as the procedural proficiency of calculation multi-digit operations.

                       

3-6                    Math On The Menu                                                      Jaine Kopp                              M-39

                                                                                                            Denise Davila 

                                                                         

In this engaging series of cooperative activities, students plunge in to help the fictional

Rosada family as it opens, equips, and expands a Mexican restaurant...with all the

attendant real-life mathematical challenges. Students eagerly apply different problem-solving

strategies as they plan and enlarge the tostadas menu, determine different combinations

of ingredients, analyze costs, set prices, and address interior logistics when the restaurant

expands to a second location.

 

5-9                    Math + Science , A Solution                                        AIMS                                        M-26

 

Math + Science. A Solution consists of more than 25 innovative activities that

integrate math and science. The investigations use a variety of readily available

and easily understood materials from marbles and M&M’s¨ candies to old shoes

and rubber balls and provides a great sampling of experiences that strengthen

 process skills.

 

K-6                   MATH: Through Children’s Literature                         Kathryn L. Braddon                    M-9

                                                                                                            Nancy J. Hall

                        Students will experience the joys of learning math!  Integrate            Dale Taylor     

                        good, enjoyable reading with mathematical concepts and

                                activities by building on students’ natural curiosity, their love

                                of patterns, and the instinct to use math to make sense of their

                                world. With this text, students will venture beyond computation

                                and rules and into the processes and skills of problem-solving,

                                communication, reasoning, connection, and estimation.

 

5-12                  The Mathematics of Microgravity                                 NASA                                       M-62

           

                        This publication identifies the underlying mathematics and physics

                                principles that apply to microgravity.

 

4-8                    Multiplication the Algebra Way                                   AIMS                                        M-30

 

                        This guide introduces students to algebraic ways of using the

                                distributive property at three levels; manipulative, representational, and abstract.

                                Algebraic multiplication differs significantly from the arithmetic algorithm so students

 must learn new processes. The activities in this publication help them build mental

imagery of algebraic processes and reinforces concepts by using parallel manipulative,

representational, and abstract approaches. The carefully developed sequence begins

with learning new concepts and processes in the familiar base ten environment, followed

by applying parallel approaches using base 3, 4, and 5 numbers, and finally transitioning

to algebra by translating the same processes to similar literal equations.

 

5-12                  Paper Square Geometry:                                             AIMS                                        M-36

The Mathematics of Origami

 

This guide offers students a hands-on, discovery-based approach to learning geometry

through origami. As they construct three-dimensional origami models, students will

increase their spatial awareness, look at specific geometric concepts such as the

properties of polyhedra, and create their own understanding of the imbedded mathematical

concepts. Students will also be introduced to the language of mathematics as they learn

to describe their discoveries using appropriate geometric terminology and notation.

 

3-8                    Puzzle Play: Puzzles, Problems, and Paradoxes        AIMS                                        M-32

                                     

Puzzle Play introduces over 65 puzzles from the field of recreational mathematics. The

                                puzzles are all mathematical in nature, although this may not be apparent to the casual

                                observer. The book, which includes eight sections, covers a broad range of topics from

                                logic to topology to optical illusions to problem solving. Many of the puzzles are paradoxical

                                in nature and all have the potential to captivate students’ interest and increase their

                                problem-solving persistence.

 

 

 

 

 

 

 

K-1                   Spring Into Math                                                          AIMS                                        M-33

 

Spring Into Math contains “spring-like” experiences and includes the study of seeds

germinating in a sponge, rainbows reflected from a prism, and the energy of moving air.

Young students have an opportunity to build a solar heater to cook a hot dog, to

“grow” an Easter basket, make a “blue wave,” and explore the “sounds of music”

in water glasses.

 

K-2                   Under Construction                                                      AIMS                                        M-34

 

Under Construction enables young students to build and explore objects from highlighted

 nursery rhymes and fairy tales. The activities encompass building and testing, exploring

 variables, and recording and interpreting data.

 

K-6                   Using Children’s Literature to Teach Mathematics      MISD                                        M-11

                                                                                   

                        Children’s literature can be a rich source for developing an understanding of     

                                mathematics. Lively stories and activities can change an attitude of reluctance

                                to one of curiosity and interest for both child and adult readers. Sharing the enjoyment

                                of good stories and participating in the real life mathematical tasks is sometimes

far better then “doing story problems”

 

3-12                  Writing to Learn Mathematics                                     Joan Countryman                    M-35

 

Writing to Learn Mathematics demonstrates the use of journals, learning logs,

letters, etc. to improve the reasoning abilities of students of all grade levels.

It can help students develop concepts and thinking skills as well as free them to

 recognize what they know and what they want to explore further about mathematics.

 

 

 

Math Modules

 

            Math Connections                                                        William P. Berlinghoff                         M-55

            A Secondary Mathematics Core Curriculum                Clifford Sloyer

                                                                                                Robert W. Hayden

                            

            Math Trailblazers                     Grade K                       A TIMS Curriculum                              M-56

                                                                                                University of Illinois at Chicago

 

Math Trailblazers                     Grade 2                        A TIMS Curriculum                              M-57

                                                                                                University of Illinois at Chicago

 

Math Trailblazers                     Grade K                       A TIMS Curriculum                              M-58

                                                                                                University of Illinois at Chicago

 

            Everyday Mathematics             Grade 4K                     University of Chicago                           M-59

School Mathematics Project

 

            Everyday Mathematics             Grade 2                        University of Chicago                           M-60

School Mathematics Project

                       

Everyday Mathematics             Grade 4                        University of Chicago                           M-61

School Mathematics Project

                       

K-5                   “The Family Game of Visual Perception”                   SET                  (GAME) M-72

 

The object of the game is to identify “sets” of three cards. Each card is

unique in its four features: number: (1,2 or 3); symbol: (diamond, squiggle or oval);

shading: (solid, stripped or open); and color: (red, green or purple).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                                                                                                                            2-6-03