American Indian students have had inadequate opportunities for success in school, particularly in mathematics and science, because of how they are typically taught. The article identifies sources of the problem, discussing education reform, assumptions about mathematics and science, culture-based variations in ways of knowing, and methods of…

Presents a class project facilitated by a teacher who used his background in construction to teach students to build a house, during which process many geometric and measurement concepts were introduced or reinforced. Discusses importance of student responsibility and the vital cooperation between construction experts, materials suppliers, and…

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

Presents strategies for counteracting the following barriers to classroom discussions: student nonparticipation or inattentiveness to others; teacher behaviors of initiating, soliciting, responding, and reacting; argumentative encounters; and inability to communicate mathematically. (MKR)

Each year, about one-third of college freshmen who select majors in science, mathematics, and engineering switch to other fields. Faculty may be able to reduce student attrition from quantitative majors by addressing four barriers to success: (1) pre-college preparation; (2) peer culture; (3) classroom climate; and (4) sink-or-swim instructional…

Presents an activity through which students develop mathematical concepts connected to area and perimeter in a rich, real-life setting and use tables, graphs, diagrams, and spreadsheets to explore the problem, see relationships, and make and test conjectures about those relationships. Encourages algebraic thinking. (SYB)

The theory behind the concept of the teacher as a model is surveyed and illustrated with actual events and techniques from college classrooms, including taking advantage of classroom mistakes to model thinking and problem-solving skills. Student evaluation results indicate that instructor credibility is unaffected by the use of these techniques.…

Describes a library media skills unit for middle school mathematics that identifies specific subject material, develops questions based on the sources chosen, addresses student motivation, involves cooperative learning, and culminates in a "Jeopardy"-style game. (LRW)

Examined tracking in a large urban school system with respect to how classroom conditions, resources, and teaching methods compared in 20 remedial and 20 regular tracked first-grade classes. Found that teaching methods and activities varied across subjects but were constant across tracks. (ET)

Presented are assessment techniques to help improve instruction. Included are the formative assessment techniques observation and questioning, diagnostic interviews, and problem-solving-based investigations and the summative assessment technique of performance-based tasks. Examples of these methods are provided together with at-home activities…

Fourth grade children (n=20) were matched on a pretest and randomly assigned to either a wooden base-10 block or computerized microworld group. Instruction was designed to establish relationships between notation and meaning, extending whole number numeration to decimal numeration. Neither group changed whole-number notational methods nor had…

Teacher's abilities to remain sufficiently faithful to predefined learning scenarios are examined via case studies. The behavior of 2 teachers during problem-solving sessions in geometry with 13-14 year olds exhibited 2 types of factors that tend to hamper scenario reproducibility: constraints on the teacher resulting from the teaching situation;…

Described are problems of the teacher's management of computer use during the learning process and student acquisition of new knowledge that can be transferred to situations outside the software environment. Choices made to address these problems are illustrated as students learn axial symmetry using the microworld Cabri-gomtre. (MDH)

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Discusses how children's literature can be used as a context to develop problem-solving tasks. Illustrates this idea by developing tasks to teach concepts related to multiplication through the context of "The Patchwork Quilt," a children's book by Valerie Flournoy. Suggests activity extensions to determine unit sizes, draw scale models,…