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Collaborative problem solving in higher education classrooms: Exploring student interactions, group progress, and the role of the teacher
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EXPLORING DEVELOPMENT OF PROBLEM SOLVING STRATEGIES IN EMERGING MATHEMATICIANS
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Relational Reasoning and Socially Shared Regulation of Learning in Collaborative Problem Solving
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Co-constructing Peer Feedback Practices in an Elementary School Mathematics Classroom: An Enactivist Perspective
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En analys av elevernas attityder och strategier vid problemlösning i matematik ; An Analysis of Student Attitudes and Strategies on Problem Solving in Mathematics
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Using online collaborative learning spaces in primary mathematics education
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An Examination of John Burton’s Method of Conflict Resolution and Its Applicability to the Israeli-Palestinian Conflict
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In: Graduate Theses and Dissertations (2017)
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Aplicación de un programa de resolución de problemas en sexto de Educación Primaria
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Eastern Ontario Pre-Service Intermediate-Senior Mathematics Teachers' Beliefs About Problem Solving
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Um estudo sobre a resolução de problemas matemáticos propostos em língua brasileira de sinais e em língua portuguesa escrita
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Martins, Aline Batista de Oliveira. - : Universidade Tecnológica Federal do Paraná, 2017. : Cornelio Procopio, 2017. : Brasil, 2017. : Licenciatura em Matemática, 2017. : UTFPR, 2017
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Characterizing College Algebra Students' Mathematical Problem Solving
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Abstract:
This study examines the mathematical problem solving (MPS) practices of students enrolled in College Algebra at a large urban university in the southwestern United States. The primary research question explores how to characterize the MPS techniques, strategies or orientations used by College Algebra students. In addition, this study documents MPS approaches that appear to be most prevalent and examines how these approaches relate to student performance. A grounded theory approach is used to formulate a theory for characterizing the MPS of students in College Algebra. Data analysis shows that multiple student-held orientations identified in this theory correlate with improved performance in College Algebra with MPS techniques, strategies, or orientations being influenced by affective factors and problem types. This qualitative study examines 19 MPS student interviews during which students answered questions about their typical approaches in MPS and discussed their solutions to mathematics problems completed both before and during the interview. Open-coding (Corbin & Strauss, 2008) was used to analyze recordings, transcriptions, and student work from the interviews. The MPS techniques, strategies, or orientations naturally arising from the data formed the basis for the theory formulated in this study. Of the eight orientations observed, three common primary orientations emerge from the data with the other five being used much less-commonly across student interviews. For each of the three common primary orientations—formula application, reexamination, and big-picture focus—a particular set of strategies and techniques typically accompany the observed orientation. The formula application and reexamination orientations align with successful grade outcomes in College Algebra. Additional analysis reveals that strategies and techniques vary according to the type of problem presented, and the higher number of strategies used by a student correlates with higher College Algebra course grade outcomes. The characterization of the MPS techniques, strategies or orientations used by College Algebra students and how these relate to course grade outcomes raise important questions regarding the behaviors rewarded with success in College Algebra and the actual MPS capacity needed to succeed in a science, technology, engineering, or mathematics career path.
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Keyword:
College algebra; Mathematical problem solving; Mathematics education; Undergraduate mathematics eduation
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URL: http://hdl.handle.net/10106/26949
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Authentizität und Lernen - das Fach in der Fachdidaktik. Gesellschaft für Didaktik der Chemie und Physik Jahrestagung in Berlin 2015
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Maurer, Christian Hrsg.. - : Universität Regensburg, 2016. : Regensburg, 2016. : pedocs-Dokumentenserver/DIPF, 2016
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In: Regensburg : Universität Regensburg 2016, 610 S. - (Gesellschaft für Didaktik der Chemie und Physik; 36) (2016)
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