The Concept of Slope: Comparing Teachers’ Concept Images and Instructional Content
| Autor: | Deborah Moore-Russo, Courtney Nagle |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Computer science
Concept map General Mathematics Best practice 05 social sciences 050301 education Education Reform mathematics Concept learning Pedagogy Connected Mathematics Mathematics education 0501 psychology and cognitive sciences Core-Plus Mathematics Project Math wars 0503 education Curriculum 050104 developmental & child psychology |
| Zdroj: | Investigations in Mathematics Learning. 6:1-18 |
| ISSN: | 2472-7466 1947-7503 |
| DOI: | 10.1080/24727466.2013.11790330 |
| Popis: | In the field of mathematics education, understanding teachers' content knowledge (Grossman, 1995; Hill, Sleep, Lewis, & Ball, 2007; Munby, Russell, & Martin, 2001) and studying the relationship between content knowledge and instructional decisions (Fennema & Franke, 1992; Raymond, 1997) are both crucial. Teachers need a robust understanding of key mathematical topics and connections to make informed choices about which instructional tasks will be assigned and how the content will be represented (Ball & Bass, 2000, Fennema & Franke, 1992). Ma (1999) described this profound understanding of fundamental mathematics as how accomplished teachers conceptualize key ideas in mathematics with a deep and flexible understanding so that they are able to represent those ideas in multiple ways and to recognize how those ideas fit into the preK-16 curriculum. Slope is a fundamental topic in the secondary mathematics curricula. Unit rate and proportional relationships introduced in sixth grade prepare students for interpreting equations such as y = 2x-3 as functions with particular, linear behavior in eighth grade (National Governors Association [NGA] Center for Best Practices & Council of Chief State School Officers [CSSO]), 2010; National Council of Teachers of Mathematics [NCTM], 2006). The focus on relationships with constant rate of change leads to distinctions between linear and non-linear functions (Yerushalmy, 1997) and |
| Databáze: | OpenAIRE |
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