Learning trajectories (LTs) can inform teaching by contributing a variety of pedagogical and content-related insights and strategies. They support sequencing topic introduction and development. Because ideas evolve gradually and often rely on a careful introduction of new representations, operations, cases of numbers, structures, and definitions,…

Strengthening Learning Progression (LP) for students' reasoning abilities is important, especially learning about diseases in Indonesia. This study aimed to map the learning progression of disease in Indonesia, compare and analyze its similarities and differences with the LP designed by National Research Council (NRC). This qualitative research to…

The importance of multiplicative thinking in supporting students' learning of key topics and success in further mathematics is widely and clearly stated in mathematics education literature. However, multiplicative thinking is not clearly stated in curriculum documents of many countries including Australia. In the "Australian Curriculum:…

K-12 students are expected to acquire competence in data display as part of developing statistical literacy. To support research, assessment design, and instruction, we developed a hypothesized learning progression (LP) using existing empirical literature in the fields of mathematics and statistics education. The data display LP posits a…

Describes an instructional model, Strategies Program for Effective Learning/Thinking (SPELT), that was developed to translate cognitive psychological theory and research into a practical instructional program. The extent to which SPELT conforms to current instructional design principles is examined, and macro versus micro instructional sequencing…

A basic principle of second language learning is the need to negotiate meaning in any language-learning situation. Once meaning is established, comprehension follows. Clusters of meaning result in schemata, which serve as the basis for sustained communication and ultimately, permanence of language learning. The comprehension approach to second…

This text on the education of gifted children is organized into two parts--the first on curriculum principles and the second on applications of those principles. The first chapter examines such topics as theories of intelligence, qualitatively different curricula, and a comprehensive approach to curriculum. Chapter 2 considers several continuums…

This annotated bibliography is a compilation of the research on programed instruction conducted in the United States since 1954. The introduction describes the field; looks back over the research and reviews some of its conclusions; answers the question whether students learn from programmed instruction; explains the characteristic variables; and…