Intended for secondary teachers in rural areas, the paper examines ways to implement a learning center approach to meet a range of students' needs, including mainstreamed special needs, students, regular students, and gifted and talented students. The first section considers B. Bloom's Taxonomy as a basis for developing learning centers.…

Describes a lesson using magazine photographs to help students learn about cultural diversity. Cooperative learning and discovery learning techniques are utilized. A student observation sheet and culture picture map are included. (CFR)

Presented is a method for finding two triangles that have five pairs of congruent parts, yet fail to be congruent. The solution is thought to involve some creative insights that should challenge both the teacher and students to recall and analyze all the congruence axioms and theorems. (MP)

The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)

Students are given a computational rule to follow for the first set of problems and must then discover the rule for the second set. Four worksheets for grades 1-8 are included. (MNS)

Five different triangle shapes cut from poster board or construction paper provide the springboard for student activities and discussions of a variety of geometric concepts from kindergarten to grade 8. (MP)

Presents examples of questions and answers arising from a hands-on and exploratory approach to discrete mathematics using cuisenaire rods. Combinatorial questions about trains formed of cuisenaire rods provide the setting for discovering numerical patterns by experimentation and organizing the results using induction and successive differences.…

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Describes discovery learning, a teaching method that encourages students to use inductive reasoning. Students explore and experiment using the skill or idea being taught; they determine rules, make generalizations, and discover concepts. The teacher acts as coach, advisor, and reinforcer. A student page offers a discovery learning game on capital…

Presents a worksheet on graph paper that allows students to determine the perpendicular bisectors of given segments by folding the paper. Students then determine the slopes of the perpendicular bisectors and use inductive thinking to discover the relationship between the slopes of perpendicular lines. (MDH)

Problem solving is viewed as an ability required throughout life, and how we function is seen to be directly related to how well we solve problems. In this document, the issue of a steady decline in students' abilities in the area of mathematical problem solving is confronted and a program designed to teach students the necessary skills in this…

This book is intended for use as a student guide. It is about human problem solving and provides information on how the mind works, placing a major emphasis on the role of computers as an aid in problem solving. The book is written with the underlying philosophy of discovery-based learning based on two premises: first, through the appropriate…

This pamphlet includes many non-routine mathematical activities for the commonly used addition, multiplication, and subtraction tables and the Hundred Square. The included activities avoid routine, and often boring, drill problems. This publication provides non-routine practice for the maintenance of computational skills and the discovery of…

School-Based Enterprises or SBEs provide work-based learning opportunities to students in communities lacking business and industry involvement. SBEs promote discovery learning and student responsibility in the learning process. They expose students to creative thinking, problem solving, planning and organizational skills, and teamwork. SBEs help…

This guide describes development of the problem-based approach of GED as project. It is Volume 1 of a proposed four-volume series. Section 1 describes the concept of GED as project, thinking and problem solving, successful intelligence, and integration of content and skills. Section 2 covers GED as project implementation using learning projects…