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Cho, Peter; Nagle, Courtney – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This study extends past research on students' understanding of slope by analyzing college students' mistakes on routine tasks involving slope. We conduct quantitative and qualitative analysis of students' mistakes to extract information regarding slope conceptualizations described in prior research. Results delineate procedural proficiencies and…
Descriptors: Task Analysis, College Students, Error Correction, Error Patterns
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Brown, Rachael Eriksen; Nagar, Gili Gal; Orrill, Chandra Hawley; Weiland, Travis; Burke, James – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this exploratory study we considered how one teacher's understanding of proportional reasoning related to his teaching. We used Epistemic Network Analysis to consider the teachers' knowledge organization and connections between knowledge resources as a way to make sense of his understanding. Then, we examined how his understanding was reflected…
Descriptors: Classroom Techniques, Knowledge Base for Teaching, Network Analysis, Epistemology
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Stephens, Ana; Strachota, Susanne; Knuth, Eric; Blanton, Maria; Isler, Isil; Gardiner, Angela – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This research explores the interplay between students' understandings of proportional and functional relationships. Approximately 90 students participated in an early algebra intervention in Grades 3- 5. Before the intervention and after each year of the intervention, we evaluated their understandings of proportional and functional relationships.…
Descriptors: Algebra, Early Intervention, Grade 3, Grade 4
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Hall, Jennifer – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
By investigating the general public's views, we can better understand the cultural milieu in which mathematics teaching and learning take place. This study, part of an international research project, investigated the Canadian general public's views of gender and mathematics. Using a brief survey, people on the street and in public spaces in four…
Descriptors: Foreign Countries, Public Opinion, Mathematics Education, Cultural Context
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Izsák, Andrew; Beckmann, Sybilla; Bradshaw, Laine – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…
Descriptors: Thinking Skills, Growth Models, Outcome Measures, Preservice Teachers
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Frank, Toya Jones; Williams, Monique Apollon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
We conducted a self-study to learn more about how to support the first author's pre-service teachers (PSTs) during their field experiences in an introductory secondary mathematics methods course. The findings highlight how the PSTs' perceptions of the secondary students' mathematics ability was closely related to how they viewed the students'…
Descriptors: Secondary School Mathematics, Preservice Teachers, Preservice Teacher Education, Field Experience Programs
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Harper, Frances; Najarro, Eduardo; Bartell, Tonya G.; Drake, Corey – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
This project examines how prospective elementary teachers (PSTs) framed the idea of drawing on multiple mathematical knowledge bases (MMKB)--children's mathematical thinking and funds of knowledge--for diverse learners, in the context of adapting curriculum. We analyzed 47 written reflections of PSTs' analyses of an existing mathematics…
Descriptors: Mathematics Curriculum, Mathematics Instruction, Elementary School Mathematics, Preservice Teachers
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Bofferding, Laura; Richardson, Sue Ellen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…
Descriptors: Task Analysis, Addition, Subtraction, Numbers