Examined the ability of kindergarten children to use counting procedures to solve story problems. A major factor affecting pupil ability was the use of manipulative materials which illustrate the sets and relationships. Findings indicate that pupil success hinges on problem complexity and that this method could be used for early diagnosis of pupil…

A process for helping students in the elementary grades develop their own algorithms for subtraction with carrying is described. Pupils choose their own times and ways to move from manipulative materials to written notation. (MP)

Presents a plan that includes daily drills, games, and take-home papers to help fourth-graders memorize the addition, subtraction, multiplication, and division tables. (SJL)

Four problems are presented and solutions using a calculator are illustrated. (MK)

Mathematics instruction can be approached as a cognitive skill, as illustrated by these elementary-level classroom activities. (LH)

Suggestions are given for teaching function notation, fractional calculations on a calculator, division to relucant learners, and a probability problem. (MK)

Presents three methods invented by fourth graders for obtaining the arithmetic mean. This presentation is in support of the idea that encouraging children to invent their own mathematical processes is a good way for them to clarify the idea of representativeness and consequently the teacher can facilitate the students' construction of higher…

Presents two examples of using the limitations of calculators to help students understand important mathematical ideas. The first example shows how a simple algebraic calculation can make a recursive model work long enough to perform the job at hand while the second shows how the limitations of a calculator can be used to introduce the need for…

The advantages of using interviews to diagnose children's needs are discussed. General interview strategies and specific questions for gaining insight into a student's understanding of the four operations are presented. (MNS)

This study evaluated the effectiveness of the constant time delay procedure, while comparing the efficiency of using teacher-selected and student-selected material prompts, in teaching multiplication facts to 4 male students with learning disabilities (ages 9 to 13). Results indicated that the time delay procedure was most efficient when students…

Suggests math activities for elementary students that are designed to strengthen problem-solving, computation, and calculator skills by revolving around the real-life situation of a picnic. The article suggests designing a class project to plan and carry out a class picnic, stressing the use of mathematics and calculators. (SM)

This article makes the case for an alternative type of mathematics instruction for students with disabilities using multiplication. It explains how educators can skip addition and subtraction in computation instruction and start with multiplication by controlling for two elements: counting through 10 and place value. Word problems are also…

In this study, six elementary grade children with developmental dyscalculia were trained individually and in small group settings with a one-semester program stressing basic numerical knowledge and conceptual knowledge. All the children showed considerable and partly significant performance increases on all calculation components. Results suggest…

Preschool children are often good at counting things but seem slow to learn that there is more to counting than simply finding out how many are in a single set. Counting is useful when comparing sets and when creating new sets to match existing ones. This is part of the numerical understanding that educators wish to foster in schools. In two…

A one-credit seminar course for junior-senior mathematics majors is described. The topic for the seminar is continued fractions, taught by a modified Moore Method, where the focus is on students creating their own mathematics. The students make conjectures after completing computational problems, then work on refining the needed hypotheses,…