Authors use combinatorical analysis to prove some interesting facts about the Fibonacci sequence.

Presents a sequence for mathematics lessons designed to facilitate students' competency in executing mathematical processes and to apply the processes to real-life situations. The sequence involves: conceptualization of the process, knowledge of terminology, knowledge of algorithms, and ability to recognize when the process is applicable to…

If a curriculum developer's goal is to create a single linear sequence of tasks that lead to the development of some important mathematical concept, then some researchers have suggested that these sequences should follow progressions similar to stages of development that have been identified in Piaget-like research on the relevant concept(s).…

Outlines a teaching sequence to help students move from finger counting to abstract levels of computation. (Author/SP)

VERTICAL AND HORIZONTAL SEQUENCES FOR ORGANIZING MATHEMATICS CONTENT IN ELEMENTARY GRADES FOUR, FIVE, AND SIX WERE IDENTIFIED USING AN EMPIRICAL BASE. VERTICAL SEQUENCES FOR THIS PROJECT PERTAINED TO SUBTOPICS WITHIN SEVERAL MATHEMATICS TOPICS USING THE LEVEL OF SUBTOPIC COMPLEXITY FOR THE CRITERION. THE DEGREE OF RELATIONSHIP BETWEEN ADJACENT…

Suitable for secondary school students, the workbook provides flowcharting activities to help students understand the logical steps used in problem solving. Before applying the flowcharting procedures to mathematical problems, students are first introduced to familiar non-mathematical problems such as sharpening a pencil or eating peanuts. Section…

We are researching actions that teachers can take to improve mathematics learning for all students. Structural elements of the lessons being trialled include making aspects of pedagogy explicit to seek to overcome differences in familiarity with schooling processes, and sequencing tasks with the potential to engage students. This article reports…

THIS VOLUME IS AN APPENDIX TO ED 003 346. SAMPLE COPIES OF THE TESTS AND INSTRUCTIONAL MATERIALS USED IN THE STUDIES ARE INCLUDED. DESCRIPTIONS INCLUDE EXPERIMENTS ON DISCOVERY VERSUS EXPOSITORY SEQUENCING IN A PROGRAMED UNIT ON SUMMING NUMBER SERIES. THESE MATERIALS ARE PRESENTED TO PROVIDE CONCERNED PERSONS WITH A BETTER UNDERSTANDING OF THE…

A SEQUENTIAL MATHEMATICS PROGRAM BEGINNING WITH THE BASIC FUNDAMENTALS ON THE FOURTH GRADE LEVEL IS PRESENTED. INCLUDED ARE AN UNDERSTANDING OF OUR NUMBER SYSTEM, AND THE BASIC OPERATIONS OF WORKING WITH WHOLE NUMBERS--ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION. COMMON FRACTIONS ARE TAUGHT IN THE FIFTH, SIXTH, AND SEVENTH GRADES. A…

Discusses the importance of revisiting problems to encourage children to amplify their mathematical thinking and for teachers to note developmental growth and patterns among learners. Describes experiences with a classic problem that was revisited several times. (ASK)

The process of applying Bloom's Taxonomy of Educational Objectives to developmental math classes is described in this paper. The first section provides background and identifies the six steps in the cognitive domain, arranged from the lowest to the most complex level of learning, as knowledge, comprehension, application, analysis, synthesis, and…

Dr. Charles Pine responds to questions concerning the definition of good teaching; his personal instructional approaches; New Jersey's basic skills testing program for college freshmen; ways to improve math instruction; and the New Jersey Algebra Project, a three-year curriculum revision effort for seventh, eighth, and ninth grades. (DMM)

Good early mathematics is broader and deeper than early practice on "school skills." High-quality mathematics should be a joy--not a pressure. It can emerge from children's play, their curiosity, and their natural ability to think. This article describes the areas of mathematics that young children can learn, and encourages elementary teachers to…