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Showing all 6 results
Peer reviewed
Direct linkAbrahamson, Dor; Gutierrez, Jose F.; Baddorf, Anna K. – Mathematical Thinking and Learning: An International Journal, 2012
What are the nature, forms, and roles of metaphors in mathematics instruction? We present and closely analyze three examples of idiosyncratic metaphors produced during one-to-one tutorial clinical interviews with 11-year-old participants as they attempted to use unfamiliar artifacts and procedures to reason about realistic probability problems.…
Descriptors: Mathematics Education, Figurative Language, Probability, Mathematics Instruction
Bair, Sherry L.; Rich, Beverly S. – Mathematical Thinking and Learning: An International Journal, 2011
This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…
Descriptors: Grounded Theory, Mathematics Education, Teacher Education Programs, Data Analysis
Nickerson, Susan D.; Whitacre, Ian – Mathematical Thinking and Learning: An International Journal, 2010
Gravemeijer's (1999, 2004) construct of a "local instruction theory" suggests a means of offering teachers a framework of reference for designing and engaging students in a set of sequenced, exemplary instructional activities that support students' mathematical development for a focused concept. In this paper we offer a local instruction theory to…
Descriptors: Preservice Teachers, Student Evaluation, Theories, Teaching Models
Stein, Mary Kay; Engle, Randi A.; Smith, Margaret S.; Hughes, Elizabeth K. – Mathematical Thinking and Learning: An International Journal, 2008
Teachers who attempt to use inquiry-based, student-centered instructional tasks face challenges that go beyond identifying well-designed tasks and setting them up appropriately in the classroom. Because solution paths are usually not specified for these kinds of tasks, students tend to approach them in unique and sometimes unanticipated ways.…
Descriptors: Teaching Methods, Inquiry, Mathematics Instruction, Student Reaction
Cai, Jinfa – Mathematical Thinking and Learning: An International Journal, 2005
This study examined U.S. and Chinese teachers' constructing, knowing, and evaluating representations to teach mathematics. All Chinese lesson plans are very similar, because they are all based on the Chinese national unified curriculum in mathematics. However, the U.S. lesson plans are extremely varied, even for those teachers from the same…
Descriptors: Cross Cultural Studies, Lesson Plans, Mathematics Instruction, National Curriculum
Novick, Laura R. – Mathematical Thinking and Learning: An International Journal, 2004
According to the National Council of Teachers of Mathematics (2000), children need to learn how to create and use mathematical diagrams to represent and reason about phenomena in the world. The author proposes a model of diagram literacy that includes six types of knowledge required for diagrammatic competence--implicit, construction, similarity,…
Descriptors: Preservice Teachers, Mathematics Teachers, Computer Science, Undergraduate Students
