Discusses how mathematical voice can be used with the framework set forth by Belenky, Clinchy, Goldberger, and Tarule to investigate the existence of stages of mathematical development of female minority college students taking developmental mathematics. (MKR)

Discusses several research efforts focusing on understanding students' attributes and validating instructional programs to improve mathematical learning and provides several instructional recommendations to assist teachers in enhancing mathematics learning for all students. (MKR)

Inhelder and Piaget found that somewhere between 12 and 15 years of age, children's thinking shifted from concrete to formal operations. To determine if this shift occurs at approximately the same age for learning disabled children (N=27) compared to normal learning children (N=27) was the task of the study reported. (JN)

Describes a method of teaching the order of mathematical operations based upon the psychological theory of conceptual generalization. (MDH)

Presents background information about Vygotskian theories. Describes Vygotsky's Zone of Proximal Development (ZPD). Discusses a model of attitude development that incorporates the ZPD, meta-awareness, the components of an attitude, and factors influencing attitude development. Suggests educational implications. (45 references) (MDH)

Assessed was the level of thinking of 140 students who had been placed in developmental algebra as entering college freshmen. Scores on the Group Assessment of Logical Thinking, Scholastic Aptitude Tests, college placement tests; high school grade point average, and developmental algebra final grade were analyzed. Group characteristics are…

How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)

Describes the psychological analysis of the instruction of the concept of multiplication in the former Soviet Union. Presents a system of instructional situations in introducing multiplication and the main results of instruction for grade two. (MDH)

Ties together the educational threads of teaching thinking skills and improving the intellectual performance in deaf learners. Identifies six criteria for curriculum or research decisions related to teaching for higher-level problem solving. Applications of these ideas to mathematics are left to the reader. (MDH)

Describes the theory and known influences on learned helplessness, particularly in the mathematics field, and discusses prevention and remediation with respect to this phenomenon. (PK)

Identified is research related to concept formation; the chronology of identity and equivalence conservations; the relationship of mental age to performance on number concept tasks; perceptual, attentional, linguistic, and social factors; and the potential use of cognitive developmental criteria as measures of ability for both normal and retarded…

Describes Vygotsky's zones of proximal development, the importance of social interaction in learning through problem solving, and the benefits of modeling. Presents three implications for teaching and learning mathematics based on a teaching experiment focusing on these constructs. (MDH)

Compared use of derived fact strategies involving addition and subtraction by 20 learning-disabled students (LDSs) from an intermediate level self-contained class to 22 grade-3 normally achieving students (NASs). LDSs did not differ from NASs in verbal fluency or use of alternative strategies. (Contains 20 references.) (MDH)

Recent contributions from theory, research, and practice in second-language instruction are discussed in relation to mathematics education. Three methods of teaching and learning second languages are described--"Delayed Oral Production," the "Silent Way," and the "Counseling Learning/Community Language Learning." (KR)

Discussed are preservice elementary teachers' misconceptions and inconsistent beliefs about multiplication and division with decimals. Sources of inconsistencies and recommendations for overcoming inconsistencies are included. (KR)