This book uses foods as catalysts for learning mathematical concepts. Each hands-on activity in this math center suggests accessible, healthful, and easy-to-prepare foods to be used in school or at home. An introduction to parents and teachers includes supplies list, gobble-up germs poster, and food guide pyramid and serving information. The…

In dynamical theory, mathematical understanding is considered to be that of a person (or group) of a topic (or problem) in a situation or setting. This paper compares the interactions between the situations and the mathematical understandings of two students by comparing the growth in understanding within a Fibonacci sequence setting in which…

Defining better implicit models of children's actions in a series of situations is of paramount importance to understanding how knowledge is constructed. The objective of this study was to analyze the implicit mental models used by children in complex change problems to understand the stability of the models and their evolution with the child's…

This book is designed to provide middle-grade mathematics teachers with ideas for enlivening instruction to help students acquire a sense about numbers. Guided classroom discussions for writing opportunities centered on the theme of problem solving are provided. Following an introduction, chapters include the following: Counterintuitive Problems;…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

This computer software program helps to make classroom worksheets, take home assignments, and school mathematics tests easy to design and manufacture. The accompanying printed teaching guide provides technical information for setting up and using the program, along with sample worksheets and instructions on how to create them using the software.…

THE FOLLOWING IS THE FULL TEXT OF THIS DOCUMENT (Except for the Evaluation Summary Table): VERSION: 3.3. PRODUCER: Hartley Courseware, Inc., Box 431, Dimondale, Michigan 48821. EVALUATION COMPLETED: January 1983 at the North Clackamas School District, Milwaukie, Oregon, and at Northwest Regional Educational Laboratory, Portland, Oregon. COST:…

Developmental patterns and interrelationships of various informal skills, reading and writing of numerals, and a range of base ten/place value concepts/skills were examined in a study involving 78 primary school children from four schools who were individually examined in a standardized interview. A total of 23 tasks were administered and…

After presenting a classroom dialogue typical of a common approach to division problems, the authors use a second dialogue to discuss the "stacking method" of division. (SD)

Recommendations for remediation of 28 distinct common error patterns in arithmetic computation are described. (SD)

On behalf of the Editorial Panel of the "Arithmetic Teacher," the authors outline a concensus concerning the importance of computational skills in the mathematics curriculum. Ten specific points are made concerning the needs of the student, classroom practice, the nature of computational learning, and needed research. (SD)

During a classroom investigation of Goldbach's conjecture a student proposed that every even number is the difference of two primes. A table of values is reproduced here, and the history of this problem is briefly discussed. (SD)

A method of teaching computation of fractions with visual aids is described. (SD)

A series of problems involving number theory, the law of cosines, and geometric interpretations of solutions to equations is discussed. (SD)

A series of puzzle-type activities combining arithmetic reasoning and geometric figures is described and illustrated. (SD)