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Lisa Baggio – ProQuest LLC, 2021
This qualitative study developed a preparation series to prepare principals in the approach of Cognitively Guided Instruction (CGI) to support teachers in implementation. The series included six virtual sessions that prepared principals in understanding the "Why" behind CGI, the connection to the state standards, number sense routines,…
Descriptors: Principals, Teacher Administrator Relationship, Mathematical Applications, Instructional Leadership
Pegg, John – 2002
Over recent years, various theories have arisen to explain and predict cognitive development in mathematics education. We focus on an underlying theme that recurs throughout such theories: a fundamental cycle of growth in the learning of specific concepts, which we frame within broader global theories of individual cognitive growth. Our purpose is…
Descriptors: Cognitive Development, Elementary Secondary Education, Learning Processes, Learning Theories
Matos, Joao Filipe – 2002
This paper is a reflection of the preparation of the Psychology of Mathematics Education Panel (PME26) that discuss the issue of "learning from learners." What it implies to be a learner is formulated in order to reflect upon the way teachers and/or researchers learn from learners. The idea of conceptualizing the notion of "learning from learners"…
Descriptors: Cognitive Development, Concept Formation, Elementary Secondary Education, Learning Processes

Hart, K. – Educational Studies in Mathematics, 1981
Different types of hierarchies in the learning of mathematics and criteria by which they might be judged are examined. Current works on mathematical learning hierarchies are illustrated and in particular the work of the mathematics team of the research project "Concepts in Secondary School Mathematics and Science" is examined. (MP)
Descriptors: Cognitive Development, Educational Research, Learning Processes, Learning Theories

Solomon, Avery – For the Learning of Mathematics, 1991
This in-depth examination of a line explores several ways that the infinite nature and finite representation of a line can be perceived. These attempts to understand the nature of the line give insights into the nature of understanding itself. (MDH)
Descriptors: Cognitive Development, Geometric Concepts, Learning Processes, Mathematics Education
Cheung, Y. L. – Journal of Science and Mathematics Education in Southeast Asia, 1980
Synthesized are a number of learning theories (those of Piaget, Bruner, Gagne, Dienes and Skemp) to form one composite teaching-learning model. This model is then applied to mathematics teaching. An example is provided to illustrate how the model may be used to elaborate a teaching-learning scheme for solving quadratic equations. (Author/DS)
Descriptors: Cognitive Development, Learning Processes, Learning Theories, Mathematics Curriculum

Onslow, Barry – For the Learning of Mathematics, 1991
Discussed is the importance of establishing the link between students' understanding of mathematics in real world settings and the symbolism used to represent that mathematics. Examples provide evidence that students and sometimes teachers fail to establish that link. References are given for resources providing strategies and contexts to assist…
Descriptors: Cognitive Development, Elementary Secondary Education, Learning Processes, Mathematics Education
American Association for the Advancement of Science, Washington, DC. – 1999
Educators, scholars, and researchers in the United States convened at the Forum on Early Childhood Science, Mathematics, and Technology Education to discuss how, when, and even if science, mathematics, and technology should be taught to pre-kindergarten children. The product of that forum, this book summarizes some of the latest thinking about…
Descriptors: Cognitive Development, Learning Processes, Mathematics Education, Preschool Children
Bishop, Alan J., Ed.; And Others – 1991
This book presents issues concerning relationships between mathematical knowledge and the teaching and learning processes, focusing especially on the genesis of mathematical knowledge in the classroom. The chapter titles are: (1) The Fragility of Knowledge (Guy Brousseau and Michael Otte); (2) The Double Bind as a Didactical Trap (Stieg…
Descriptors: Cognitive Development, Elementary Secondary Education, Epistemology, Foreign Countries

Novak, Joseph D. – Studies in Science Education, 1978
Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)
Descriptors: Cognitive Development, Discovery Processes, Higher Education, Learning Processes

Jeeves, M. A. – Educational Studies in Mathematics, 1971
Task performance experiments concerning properties of mathematical groups with 10 and 11 year-old children are discussed including transfer effects, effects of structural relations, individual differences, and memory (both short and long term). (JG)
Descriptors: Child Development, Cognitive Development, Conference Reports, Developmental Tasks

Pillay, Hitendra; Wilss, Lynn; Boulton-Lewis, Gillian – Mathematics Education Research Journal, 1998
Examines arithmetic and algebra knowledge from a cognitive perspective in an effort to determine what constitutes a pre-algebraic level of understanding. Presents results of a longitudinal study designed to investigate students' readiness for algebra. Proposes a model for the transition from arithmetic to pre-algebra to algebra. Contains 29…
Descriptors: Algebra, Arithmetic, Cognitive Development, Elementary Secondary Education
Stanton, George; Pelavin, Sol – 1974
This study investigates relationships between differences in students' achievement and differences obtained by a technique held to yield a reasonably valid representation of students' memory structures of a particular subject matter. Also investigated was the nature of the flow of information between curriculum materials, teachers, and students.…
Descriptors: Algebra, Cognitive Development, Cognitive Processes, Graphs
Geeslin, William E. – 1974
Digraphs, graphs, and task analysis were used to map out the content structure of a programed text (SMSG) in elementary probability. Mathematical structure was defined as the relationship between concepts within a set of abstract systems. The word association technique was used to measure the existing relations (cognitive structure) in S's memory…
Descriptors: Cognitive Development, Cognitive Processes, Learning, Learning Processes
Sime, Mary – New Era, 1977
This article briefly describes Piaget's theory of periods of intellectual growth and the impact his theories have had in teacher training, research, mathematics teaching, textbook development and their use in the British Infant, Junior, and Secondary schools. For journal availability, see SO 506 042. (JK)
Descriptors: Cognitive Development, Comparative Education, Educational Media, Elementary Secondary Education