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Download full textAndrew Kercher; Canan Günes; Rina Zazkis – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Extant research has demonstrated that problem-posing and problem-solving mutually affect one another. However, the exact nature and extent of this relationship requires a detailed elaboration. This is especially true when adidactical problem-posing arises within a problem-solving context. In this study, we analyze the scripting journey used by two…
Descriptors: Undergraduate Students, Preservice Teachers, Preservice Teacher Education, Problem Solving
Worthwhile Problems: How Teachers Evaluate the Instructional Suitability of Contextual Algebra Tasks
Cody L. Patterson; Mai Bui; Lino Guajardo; Carlos Acevedo; Brandi Rygaard Gaspard; Rebecca McGraw – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
We investigate the beliefs that influence middle and high school algebra teachers' appraisals of contextual problems having diverse mathematical and pedagogical features. We asked six teachers to analyze six contextual algebra tasks and indicate how they would apportion instructional time among the six tasks based on their structure, pedagogical…
Descriptors: Mathematics Teachers, Middle School Teachers, High School Teachers, Teacher Attitudes
Johnson, Kim – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
Proportional reasoning is important to the field of mathematics education because it lies at the crossroads of additive reasoning in the elementary school and multiplicative reasoning needed for more advanced mathematics. This research reports on the representations used by pre-service teachers (PSTs) as they responded to tasks involving…
Descriptors: Preservice Teacher Education, Preservice Teachers, Thinking Skills, Mathematical Logic
Paoletti, Teo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
Researchers have argued that students can develop foundational understandings for a variety of mathematical concepts through quantitative reasoning. I extend this research by exploring how students' quantitative reasoning can support them in developing meanings for inverse relations that influence their inverse function meanings. After summarizing…
Descriptors: Mathematics Activities, Mathematical Concepts, Thinking Skills, Statistical Analysis
Fonger, Nicole L. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
This research study was specifically concerned with the development, testing, and revision to an instructional theory for studying the mathematical concepts of equivalence and equation solving with multiple representations and multiple tools. Following a design research approach, a collaborative teaching experiment was conducted with a ninth-grade…
Descriptors: Equations (Mathematics), Problem Solving, Mathematical Concepts, Educational Theories
Fleming, Ali; Roble, Amanda; Yao, Xiangquan; Brosnan, Patricia – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
We traced the impact of a sequence of five research-based professional development sessions on a cohort of mathematics teachers' Mathematical Knowledge for Teaching. The sessions focused on task design and implementation as a means of building teachers' pedagogical capacity. Findings revealed that teachers' pedagogical knowledge pertaining to…
Descriptors: Capacity Building, Curriculum Design, Curriculum Implementation, Teaching Skills
Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
