This article summarizes for teachers the results of a Schools Council study on the advantages, disadvantages and processes of mixed ability teaching in mathematics. (SJL)

This article describes the implementation in Brooklyn, New York, of the Diagnostic Testing and Prescriptive Instruction mathematics instruction model, which establishes the level of knowledge of each student and then offers instruction at the student's pace. Implementation involves teacher training, student selection, curriculum development, and…

This paper argues that the shift from behaviorist learning theories to constructivist and social constructivist theories provides an opportunity to develop a hybrid model of mathematics instruction for students with learning disabilities. The proposed model embeds important skill learning in meaningful contexts. Evaluation data on such embedded…

This document is a collection of six mathematics lesson plans for use with students with learning disabilities or mild mental retardation. The lesson plans utilize the Essential Elements of Instruction (EEI) 5-Step lesson design model developed by Madeline Hunter. The lesson plans and their authors are as follows: (1) "An EEI Lesson for 1st…

This study investigated the effect on teachers of observing or implementing an alternative form of instruction in a primary-grade arithmetic class. Under consideration were the relationships between the beliefs teachers held about mathematics and about teaching mathematics, and their recognition and internalization of the principles of the…

This article describes a systematic approach to communication appropriate for nearly all topics of elementary mathematics for students with disabilities. A matrix illustrates the interactive unit, in which the teacher provides input on concepts, routines, or problems by either manipulating, displaying, saying, or writing and the student responds…

The crisis confronting calculus and mathematics education generally results from a number of failed assumptions implicit in the dominant lecture-homework-exam methodology used in teaching mathematics. Positive resolution of this crisis can be found in adopting a noncompetitive, collaborative approach to mathematics education. (Author)

Describes a simple exploratory teaching model including exploration and codification phases. Reports the findings of a small-scale action-research project to implement and evaluate it. Concludes that there was no underachievement for the exploratory approach, and a strong association between student performances for routinized mathematical…

Presents tasks from the topics of calculus, statistics, non-Euclidean geometry, and probability to illustrate effective college mathematics teaching. Discusses some obstacles to change in college-level mathematics teaching and strategies to overcome those obstacles. (MDH)

The National Council of Teachers of Mathematics'"Professional Standards for Teaching Mathematics" perceive teachers as key figures in changing the way mathematics is conceived and taught. Discusses research related to teacher reflection and its relation to classroom practice. (MDH)

This article uses a cognitive problem-solving model to explore the application of hypermedia authoring software to mathematics in general and to mathematical problem solving in particular. Hypermedia is presented as a method of exploring alternative solution processes to remediate or prevent learning problems. (JDD)

Reports results of a four-year experiment integrating writing into secondary mathematics classrooms. Discusses (1) the development of a pedagogical model for mathematics journal keeping; and (2) the practicalities of implementing journal writing in the curriculum. Includes sample journal entries. (12 references) (MDH)

Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)

Reports on a research development model designed to improve the teaching and learning of mathematics in the Dominican Republic. The model drew heavily upon the Missouri Mathematics Project. Discusses innovations in curriculum development, classroom instruction, and inservice teacher training. Includes statistical tables on student achievement and…

In an effort to present important research results in readable form for elementary and secondary teachers of mathematics, this publication reviews a model and ways of effectively teaching mathematics. The model of instruction proposed by Good and Grouws is based on teacher-centered whole class instruction. Perspectives and guidance are offered in…