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Download full textJosé Luis Cortina – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…
Descriptors: Instructional Design, Educational Resources, Mathematics Instruction, Learning Trajectories
Norton, Anderson; Ulrich, Catherine; Kerrigan, Sarah – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
We introduce a methodology for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We studied 12 pre-service teachers as they solved a set of fractions tasks, ranked by cognitive demand. We present the unit transformation graphs for one of those pre-service teachers, to illustrate how she experienced and met…
Descriptors: Mathematics Education, Problem Solving, Preservice Teachers, Preservice Teacher Education
Sztajn, Paola; Wilson, P. Holt; Edgington, Cyndi; Confrey, Jere – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
As learning trajectories gain traction in mathematics education, we seek to understand the ways in which teachers may use them in interactions with students. This paper reports on one group of elementary teachers' use of their emerging knowledge of a learning trajectory to examine key pedagogical practices. Findings suggest that a learning…
Descriptors: Mathematics Instruction, Teaching Methods, Elementary School Teachers, Learning Processes
