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Full-Text Articles in Education
Developing Multiplication Fact Fluency, Jonathan Brendefur, S. Strother, K. Thiede, S. Appleton
Developing Multiplication Fact Fluency, Jonathan Brendefur, S. Strother, K. Thiede, S. Appleton
Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations
Using specific components of three broad learning theories—cognitive, social-interactional, and behavioral—students in 3rd, 4th and 5th grade classrooms were given multiplication fact fluency instruction over a period of five weeks for 10-15 minutes each day. Two different approaches were utilized with two distinct groups of students for the purpose of comparing different approaches to fluency development. Results indicate that students using a strategy-based approach for fluency development by means of instructional tasks emphasizing social-interactional and cognitive theories (particularly Bruner’s theory of Modes of Representation) increased multiplication fact fluency, with a greater degree of consistency, than students …
A Written Instrument For Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, Jesse L. M. Wilkins
A Written Instrument For Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, Jesse L. M. Wilkins
Mathematics and Statistics Faculty Publications and Presentations
Units coordination refers to students’ abilities to create units and maintain their relationships with other units that they contain or constitute. In recent research, units coordination has arisen as a key construct that mediates opportunities for student learning across several domains of mathematics, including fractions knowledge and algebraic reasoning. To date, assessments of students’ stages of units coordinating ability have relied upon clinical interviews or teaching experiments whose time-intensive nature precludes opportunities for conducting large-scale studies. We introduce a written instrument that teachers and researchers can use with large populations of students. We report on the reliability and validity of …
Developing Proportional Reasoning, Derek Hurrell, Lorraine Day
Developing Proportional Reasoning, Derek Hurrell, Lorraine Day
Education Conference Papers
Proportional reasoning is one of the big mathematical ideas students will encounter. It applies to a wide range of contexts across all of the content strands and is considered a critical concept for success in secondary mathematics. It requires an ability to think multiplicatively and relationally, and is often problematic for students.