This study examines the effect of formal representation of blue and yellow color mixtures as rational numbers on students' ability to solve ratio problems comparing the mixtures. Sixty subjects participated, 20 from each of grades 7, 8, and 9 from a Haifa (Israel) junior high school. Introducing the formal representation improved performance for…

Described are three activities and variations that can help students to understand the concept of place value. Allowing students to use concrete materials and helping them to bridge the gap between manipulatives and paper-and-pencil tasks are emphasized. (KR)

The reasoning abilities to be expected of the concrete operational and formal operational student, the percentage of secondary science students that are capable of each type of reasoning pattern, and effective strategies to teach science to concrete reasoners are described. Implications for curriculum development are discussed. (KR)

Three activities are presented to assess the level of students' geometric understanding according to van Hiele learning model. The activities--Descriptions, Minimum Properties, and Class Inclusion--are applied to the example of classifying quadrilaterals as squares, rectangles, rhombi, or parallelograms. Implications of this assessment are…

Illustrates the concept of phototropism and the development of root systems using a classroom-constructed clinostat. Provides instructions to construct the clinostat and tips to promote plant growth. (MDH)

The influence that number naming grammar has on the understandings of two-digit numbers and place value of kindergarten children of European and Asian background was examined. Results indicate that Asian verbal/numerical representation patterns naming tens and units in order may be associated with distinctive place value concepts that support…

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Seven chapters consider what learning is and what counts as learning in the context of formal schooling. How qualitative research assists in this examination is explored. Qualitative research is an indispensable tool in the repertoire of research approaches that will illuminate learning discourse. (SLD)

Presents a teacher-made instructional material that can be used to help students understand and retain the concepts of magnet and magnetic field. Doughnut-shaped magnets levitate above each other when placed over a post with like poles facing each other. Instructions are provided to make the device. (MDH)

Use of in-class writing assignments in a college chemistry course, intended to help students form and express new concepts, was also found to increase students' sense of participation and feeling of control over learning and to help the instructor assess learning and further instructional needs. Some resistance was also discovered. (MSE)

Discussed are the recognition and the relevance, in terms of teacher/student awareness and subsequent effective teacher treatment techniques, of cognitive disequilibrium as experienced by the student, when such disequilibrium is provoked by mathematical contradictions and/or counterexamples, within the classroom paradigm of constructivism. (JJK)

Described is the use of computer software, with and without guiding text, for a simulation that presents processes related to electric charges and electric forces underlying the electric-pendulum phenomenon. Included are methods for integrating this simulation with actual middle-school science class demonstration. (JJK)

Two studies investigated (1) the development of children's implicit theories of self-attributes in the domains of intelligence, sociability, physical skills, and physical appearance; and (2) the degree to which conceptions of ability can be experimentally manipulated to predict achievement cognitions and behaviors. (BB)

A study of German-speaking kindergartners and adults replicated Canadian research that found that, although children made more errors than adults in recognizing emotional expressions of photographed faces, they structured emotional concepts just as adults did. (Author/BB)

Discussed are the results of a test administered to nonmajor biology students on the topic of natural selection. The description of student conceptions, effects of instruction, and the effects of a belief in evolution are included. (KR)