Described is a game that is used to introduce the concept of multiplying integers. Serving as a physical model for the concept, "Froggie Frolic" races frogs along a number line by moves that indicate direction, magnitude, and number of jumps, thus modeling integer multiplication. A teacher's guide and worksheets are provided. (MDH)

Reports misconceptions identified in students with respect to the topic of parallel lines and the teaching strategies found to be useful in challenging those misconceptions. (11 references) (MDH)

Describes one teacher's reflection concerning the quest to develop an understanding of school mathematics that promotes and sustains students' opportunities for exploration and conjecture. Recounts that a particular student's exploration of the features of parabolas eventually led to an understanding of the quadratic formula precisely because of…

Describes a series of instructional activities designed to help student develop a conceptual foundation necessary for learning about other cultures. Suggests a study of the classroom culture and subcultures. Discusses using a culture artifacts box for observation, grouping and labeling, and making generalizations that later will be compared to…

Discusses area models that can be used in grades three through nine, showing how the model generalizes from discrete situations involving the arithmetic of whole numbers to continuous situations involving decimals, fractions, percents, probability, algebra, and more advanced mathematics. (14 references) (MDH)

A four-step approach to teaching complex concepts at the college level involves a sequence of lecture, an individual assignment, small group discussion, and larger group discussion instruction. The last three steps focus on case study applications. The method is adaptable to different teaching situations and promotes expansion of student…

Presented is a list of over 50 commonly held misconceptions based on a literature review found in students and adults. The list covers earth science topics such as space, the lithosphere, the biosphere, the atmosphere, the hydrosphere, and the cryosphere. (KR)

Study examined types of pedagogical knowledge acquired by career-change preservice teachers in an alternative certification program. Researchers videotaped subjects, analyzed journals, and collected concept maps of teaching. Subjects exhibited four stages of pedagogical development. They showed a need to acquire theoretical knowledge about…

Presents computer approach formulated within a framework of versatile thinking designed to overcome obstacles to understanding algebra. Results from related studies comparing the computer and traditional approaches taught to 11, 12, and 13 year olds showed that the computer approach significantly improved the understanding of higher order concepts…

The problem of innumeracy in general and at the primary school level in particular is attributed to a structuralist design of instruction emphasizing an algorithmic approach to arithmetic. Offered is an alternative learning approach developing arithmetic as an informal context-bound activity tied to mental arithmetic and estimation. (MDH)

This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…

Describes activities to help students see discontinuities as faults. Students collect data, manipulate data, and use the data to formulate explanations. Schematic diagrams help students with the conceptual component of thinking. (PR)

Describes activities from workshops with teachers on science-education standards that focus on content standards related to earth and space sciences. Activities include observing changing shadows and shadows at morning, noon, and at night. (DDR)

Presents a case study of third graders' development of place value conceptions to illustrate an approach for documenting students' mathematical development in the social context of the elementary school classroom. Documents the evolution of communal mathematical practices in which students participate and the development of individual…

Explores high school students' and preservice teachers' knowledge of light, vision, and related topics before and after commonly practiced instruction. Suggests a hierarchical structure to represent the collective conceptual knowledge of students and teachers in terms of facets and schemes of knowledge. Makes suggestions for designing instruction…