Research suggests that tasks that use technology as a reorganizer (technology is used to produce dynamic representations) are linked with the development of students' conceptual knowledge, yet many secondary mathematics textbooks in the USA predominantly include tasks that use technology as an amplifier (technology is used to produce static…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

Games have been used as instructional tools throughout history. Educational experiences are more effective when learners are active participants, and when teachers carefully choose fun games with appropriate game mechanics and clear curricular connections, students can engage in rigorous mental processes. At the same time, students may learn a…

All students should have access to learning experiences that help them make sense of important mathematical concepts. This study highlights teacher actions for consolidating student learning during teacher-lead discussion in the early years. We report on a case study of a Year 1 teacher involving a lesson observation. Highlights of the lesson…

The purpose of this study is to determine the distribution of Science achievements in Life Studies Course Curricula of 2009, 2015 and 2018 regarding the knowledge and cognitive process dimensions of the Revised Bloom Taxonomy and to comparatively examine the resulting distributions. This study adopted document analysis. While conducting the…

Teachers' abilities to design mathematics lessons are related to their capability to mobilize resources to meeting intended learning goals based on their noticing. In this process, knowing how teachers consider Students' thinking is important for understanding how they are making decisions to promote student learning. While teaching, what teachers…

All students should be provided with opportunities to develop conceptual understanding prior to procedural fluency. To develop students' conceptual understanding, teachers must learn such skills as how to select, plan, and enact cognitively demanding tasks (CDT) and to evaluate evidence of student learning. Therefore, teachers need opportunities…

This submission contains the Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Alberta in Edmonton, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

The intent of this book is to encourage teachers to examine how they question in order to generate richer classroom interaction. Part One sets out the reasons for the limited effectiveness of questions in present classroom practice, and examines the two structures which form the matrix of all educational processes: the structure for thinking and…

Instructional Curriculum Mapping (ICM) is a set of guidelines for diagramming the interrelationships among objectives from different domains of learning. Five major learning domains are identified: (1) intellectual skills; (2) cognitive strategies; (3) verbal information; (4) motor skills; and (5) attitudes. This paper examines the functional…

Reports an example of one lesson from a sequence of lessons on fractions from a sixth grade class in which the teacher revises her plans after observing students' small-group work and interactions. The lesson illustrated the teacher's knowledge of mathematics, how students think, and how to observe that thinking. (MDH)

Presents a study to determine the effects of introducing methods students to the "learning cycle" technique on their ability to adapt science textbooks to the method and employ it in their teaching. Interviews of 24 randomly selected students out of 48 participants indicated that 75 percent used the approach while student teaching and…

This seventeenth in a series of twenty-nine learning modules on instructional execution is designed to give secondary and postsecondary vocational teachers help in developing competencies needed in demonstrating a concept or principle. The terminal objective for the module is to demonstrate a concept or principle in an actual school situation.…

The most popular activities from APA's successful "Activities Handbooks for the Teaching of Psychology" are gathered together and updated in this book of teachers' favorites. The lesson plans, which encourage active learning and involve the whole class, have stood the test of time and proven themselves to be entertaining, effective, and easy to…