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Model breaking points conceptualized
(Springer Verlag, 2014)
Current curriculum initiatives (e.g. National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010) advocate that models be used in the mathematics classroom. However, despite their ...
Exploring Teachers’ Implementation of Comparison in Algebra I
(2014)
Discussions where teachers engage students in the comparison of multiple solution strategies to a single problem have been recommended in curriculum policy documents, yet integrating these discussions into teachers' normative ...
Learning from Comparison in Algebra
(2014-04-28)
Mastery of algebra is an important yet difficult milestone for students, suggesting the need for more effective teaching strategies in the algebra classroom. Learning by comparing worked-out examples of algebra problems ...
It pays to compare: An experimental study on computational estimation
(2009)
Comparing and contrasting examples is a core cognitive process that supports learning in children and adults across a variety of topics. In this experimental study, we evaluated the benefits of supporting comparison in a ...
Understanding the development of flexibility in struggling algebra students
(2011)
The ability to flexibly solve problems is considered an important outcome for school mathematics and is the focus of this paper. The paper describes the impact of a three-week summer course for students who struggle with ...
Improving Seventh Grade Students' Learning of Ratio and Proportion: The Role of Schema-Based Instruction
(2009)
The present study evaluated the effectiveness of an instructional intervention (schema-based instruction, SBI) that was designed to meet the diverse needs of middle school students by addressing the research literatures ...
Improving Students' Proportional Thinking Using Schema-Based Instruction
(2011)
This study investigated the effectiveness of an instructional program (schema-based instruction, SBI) designed to teach 7th graders how to comprehend and solve proportion problems involving ratios/rates, scale drawings, ...
An exploratory study contrasting high- and low-ability students' word problem solving: The role of schema-based instruction.
(2012)
This study evaluated whether schema-based instruction (SBI), a promising method for teaching students to represent and solve mathematical word problems, impacted the learning of percent word problems. Of particular interest ...
Teachers' views about multiple strategies in middle and high school mathematics: Perceived advantages, disadvantages, and reported instructional practices
(Taylor & Francis, 2013-08-30)
Despite extensive scholarship about the importance of teaching mathematics with multiple strategies in the elementary grades, there has been relatively little discussion of this practice in the middle and high school levels ...
Procedural and Conceptual Knowledge: Exploring the Gap Between Knowledge Type and Knowledge Quality
(2013)
Following Star (2005, 2007) we continue to problematize the entangling of type and quality in the use of conceptual knowledge and procedural knowledge. Although those whose work is guided by types of knowledge and those ...