This article beings with two anecdotes that demonstrate that math and science are everywhere in a teacher's classroom. The challenge is to take these wonderful "teachable moments" that happen all the time and intentionally incorporate them into the curriculum. Early childhood teachers need to learn to seize these teaching and learning…

This study investigated the impact of virtual manipulatives on first grade students' academic achievement as well as on student attitudes, behaviors, and interactions. Thirty-one (31) first grade students were randomly assigned to either a treatment or control group. Both groups studied identical objectives, but the treatment group used virtual…

This document Agency is designed to assist teachers and other school personnel in the planning and teaching of the first grade mathematics course. Contents include: (1) Overview of Grade 1 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the second grade mathematics course. Contents include: (1) Overview of Grade 2 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the third grade mathematics course. Contents include: (1) Overview of Grade 3 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the fourth grade mathematics course. Contents include: (1) Overview of Grade 4 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics,…

This document is designed to assist teachers and other school personnel in the planning and teaching of the seventh grade mathematics course. Contents include: (1) Overview of Grade 7 Mathematics (mission statement, purpose and philosophy, goals, National Council of Teachers of Mathematics' Professional Standards for Teaching Mathematics, and uses…

A lesson plan for first-grade children beginning to learn English describes an activity using manipulatives and visual aids to develop recognition of three geometric shapes (circle, square, rectangle), their names, and a few additional words in English (e.g., "bag,""table,""door"). Students are grouped at tables of four to six and provided with…

This document is a catalogue designed to help motivate students by familiarizing teachers with use and selection of manipulative materials. The first section discusses what manipulative materials are, how to use manipulative materials in instruction, in what branches of mathematics manipulative can be used, what students benefit from manipulative…

The Arizona Essential Skills states that development of problem-solving ability is the top priority of mathematics education. This study presents results of a survey of 744 K-8 teachers--631 females and 113 males--designed to investigate the current nature of mathematical problem-solving instruction in Arizona K-8 classrooms and the extent to…

A powerful way of understanding something new is by analogy with something already known. An analogy is defined as a mapping from one structure, which is already known (the base or source), to another structure that is to be inferred or discovered (the target). The research community has given considerable attention to analogical reasoning in the…

This research focused on students' learning of mathematical rules with reasoning. A small group of students (age 11-12 yrs) was observed closely by the first author as she taught them fraction rules. The area of focus was fractions and activities were designed pertaining to the four rules of fractions: addition, subtraction, multiplication, and…

This book presents activities developed for grades 6-10 in creating string designs on polygons and polyhedra. They are designed for use as enrichment materials, each having step-by-step instructions and are arranged from easiest to most difficult, and marked accordingly. The pages are punched and perforated. Many activities are followed by related…

Four high school special education teachers in the Vocational Education Program in the South Bend Community School Corporation participated in a mathematics program. They then conducted classroom research related to their inservice activities with their mildly handicapped students. Teachers used manipulative materials in their inservice sessions…

This is one of a series of monographs developed by teachers in elementary schools near Leeds, England. This document focuses on early instruction of number concepts. It is considered essential that these ideas be presented first in concrete form. The working group attempted to provide a detailed progression in the developmental stages leading to…