In this paper, we report on the impact of four activities and two interviews on the organization of an introductory statistics course attended by future mathematics teachers at the University of Sao Paulo, Brazil. The activities were designed to enhance students' learning and collaborative knowledge construction, based on Vygotsky's…

I discuss my experience with teaching an advanced undergraduate Real Analysis class using both lecturing and the small-group guided discovery method. The article is structured as follows. The first section is about the organizational and administrative components of the class. In the second section I give examples of successes and difficulties…

This document contains the proceedings of a conference held at the U.S. Military Academy to consider the question of core requirements for the courses often employed by partner disciplines, what concepts and procedural skills are really central, and how these questions might lead to the creation of a new undergraduate set of requirements that meet…

Manufacturing engineering provides a relevant context from which to envision interdisciplinary learning experiences because engineers integrate their knowledge and skills of manufacturing and algebra processes in order to plan the efficient manufacture of products. In this article, the author describes an interdisciplinary learning activity that…

LEVEL I-A UNIT AREAS COVER THE MEANING OF "NUMBER," ADDITION, MULTIPLICATION, SUBTRACTION, AND DIVISION. LEVEL I-B COVERS INTRODUCTION TO COMMON FRACTIONS, COMBINING FRACTION, FRACTIONAL PARTS, SEPARATING FRACTIONS, AND APPLICATIONS. EACH UNIT UNDER I-B HAS SUBDIVISIONS, WITH A PARAGRAPH OF TEACHING HINTS AND EXAMPLES. STRESS IS UPON…

This publication is the first part of a series "Mathematics - Pre-Kindergarten, Kindergarten, and Grade One." This bulletin is a part of the developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. Part One of the program presented…

MEASUREMENT, GEOMETRY, DECIMAL FRACTIONS, AND PERCENTAGE CONSTITUTE UNIT CONTENT FOR LEVEL II-A. NO STEP-BY-STEP PROCEDURES ARE GIVEN. EACH UNIT HAS GENERAL PROCEDURAL AND CONTENT APPROACH SUGGESTIONS. THE UNIT BEGINS WITH MEASUREMENT BECAUSE MOST CLASS MEMBERS WILL BE TAKING A PRACTICAL ARTS COURSE AND WILL NEED TO BE ABLE TO MEASURE MATERIALS.…

THE COURSE IS GEARED TO MEET THE NEEDS OF STUDENTS ENTERING SENIOR HIGH SCHOOL WITH A MATHEMATICS ACHIEVEMENT LEVEL BELOW SIXTH GRADE. SINCE TWO PRINCIPAL CAUSES OF SERIOUS DEFICIENCIES IN ARITHMETIC ARE A LACK OF UNDERSTANDING OF THE DECIMAL SYSTEM OF NOTATION AND A LACK OF KNOWLEDGE OF THE BASIC FUNDAMENTALS OF ARITHMETIC, BASIC CONCEPTS MUST BE…

This curriculum is an intermediate result of a research program exploring the application of detailed behavior analysis procedures to the problem of designing sequences of learning objectives. The research program, part of the Primary Education Project (PEP), is an attempt to develop a systematic method of specifying and validating learning…

A mathematical preview program in physics was developed at the Arkansas School for Mathematics and Sciences to introduce students to mathematical concepts, then use these as tools in physics while concurrently studying them in mathematics. The topics and time frame for the mathematical preview in calculus-based physics courses is presented, along…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This is designed as the second of a two-semester sequence. Topics include performing operations with radicals and exponents; learning to solve equations;…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus course designed as the second course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes applications from technology and verbal problems. Topics include trigonometric functions; identities;…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This course is designed as the first of a two-semester sequence. Topics include operations with signed numbers; simple operations on monomials and…

The numeracy handbook is a practical guide for teachers of numeracy and literacy to learners of English as a Second Language. Focus is on teaching numeracy and integrating numeracy and literacy. It considers issues in defining and teaching numeracy, examines numeracy in the workplace, designing a course and a unit of work, and analyzes numeracy…