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Download full textCho, 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
Booth, Julie L.; Begolli, Kreshnik N.; McCann, Nicholas – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with reform textbooks either containing the original practice problems or in which a portion of those problems were converted into…
Descriptors: Secondary School Mathematics, Prompting, Middle School Students, Textbooks
Hu, Qintong; Son, Ji-Won; Hodge, Lynn – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
To improve mathematics achievement, students' errors should be treated as a source to stimulate their understanding of the conceptual and procedural basis of their errors. The study investigated 20 Chinese and 20 U.S. high school teachers' interpretations and responses to a student's errors in solving a quadratic equation. The teachers' responses…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematics Achievement, Mathematical Concepts
Direct linkBarbieri, Christina; Booth, Julie L. – Grantee Submission, 2016
Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…
Descriptors: Middle School Students, Algebra, Secondary School Mathematics, Randomized Controlled Trials
Akyüz, Gözde – Community College Journal of Research and Practice, 2015
The goal of this study was to determine the mathematics achievement level in basic numeracy and algebra concepts of students in a two-year program in a technical vocational school of higher education and determine the errors that they make in these topics. The researcher developed a diagnostic mathematics achievement test related to numeracy and…
Descriptors: Numeracy, Algebra, Vocational Schools, Two Year Colleges
Ottmar, Erin; Landy, David – Journal of the Learning Sciences, 2017
Learning algebra is difficult for many students in part because of an emphasis on the memorization of abstract rules. Algebraic reasoners across expertise levels often rely on perceptual-motor strategies to make these rules meaningful and memorable. However, in many cases, rules are provided as patterns to be memorized verbally, with little overt…
Descriptors: Mathematics Instruction, Algebra, Outcomes of Education, Learning Processes
