Abstract
This chapter uses a mixed-method approach to address practices of mathematics education in the context of various rural schools in the US. It reports on connections of mathematics instruction to place and community by developing issues of relevance, sustainability and social-class interaction. Special attention is paid to place-based education and the university-intending students, to rural insufficiency and rural affordance and to the egalitarian local/elite cosmopolitan continuum.
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- 1.
This work draws on the efforts of a talented team of colleagues including Aimee Howley, Craig Howley, Daniel Showalter, John Hitchcock, and Jerry Johnson. This paper makes use of Howley et al. (2010, 2011), and Klein et al. (2013) but focuses more acutely on mixed-methods results than do those papers.
- 2.
Descriptions are modified from those given in Howley et al. (2010).
- 3.
The ACT is a college readiness assessment administered in the United States to students in secondary school wishing to enter post-secondary education. It is used by many institutions of higher education in the United States, along with the similar SAT, as part of college admissions decisions and sometimes placement into mathematics and English courses. The ACT reports an overall composite score (1–36), with 36 being the highest score, as well as subject-specific composite scores (also 1–36) for English, Mathematics, Reading, Science Reading, and Writing.
- 4.
The word “college” used throughout this chapter, refers to post-compulsory graduation. It may be used synonymously with “university” as is the practice in the United States.
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Appendices
Appendices
Appendix A
Factor loadings A–D for exploratory factor analysis with polychoric factor analyses reported in parentheses
Item | Factor 1 | Factor 2 | Factor 3 | Factor 4 | |
---|---|---|---|---|---|
A1. | Connecting mathematics to students’ everyday lives can help prepare them for study at 4-year colleges. | .782 (.69) | −.019 | −.014 | −.178 |
A2. | Connecting mathematics to students’ everyday lives can help prepare them for study at 2-year colleges | .769 (.82) | −.072 | −.074 | −.112 |
A3. | Using students’ daily life experiences as part of instruction improves the learning of lower-level mathematics. | .698 (.84) | −.020 | −.037 | .109 |
A4. | Using students’ daily life experiences as part of instruction improves the learning of higher-level mathematics. | .652 (.78) | −.038 | .021 | −.103 |
A5. | Connecting mathematics to students’ everyday lives can help prepare them for coursework in a 4-year university or college. | .639 (.69) | −.044 | .096 | −.096 |
A6. | Students are more motivated to learn mathematics when they see it as being relevant to their daily lives. | .581 (.74) | .007 | −.028 | .018 |
A7. | Connecting mathematics to the local community will improve instruction for all students. | .558 (.63) | .022 | .159 | .078 |
A8. | My remedial students like it when mathematics instruction is tied to their daily lives. | .546 (.63) | .089 | .077 | .259 |
A9. | My advanced students like it when mathematics instruction is tied to their daily lives. | .517 (.59) | .086 | .022 | .091 |
A10. | The mathematics I teach is directly applicable to my students’ everyday lives. | .366 (.37) | .074 | .189 | −.164 |
A11. | Twenty-first century jobs will demand high level mathematical skills of all students. | .321 (.35) | .275 | .068 | .034 |
B1. | All students can do higher-level mathematics. | .057 | .725 (.76) | −.007 | −.093 |
B2. | Some students will never be ready for college-level mathematics. | −.014 | .665 (.75) | −.134 | −.167 |
B3. | Schools should prepare all students to go to college. | .001 | .621 (.68) | .188 | .135 |
C1. | My colleagues support efforts to connect mathematics instruction to the local community. | .075 | −.091 | .710 (.77) | .031 |
C2. | My administration supports community-connected mathematics instruction. | .056 | .048 | .683 (.722) | .107 |
C3. | Parents of my students support community-connected mathematics instruction. | .137 | .007 | .675 (.698) | .094 |
C4. | My community offers opportunities for applying mathematics topics. | −.061 | .066 | .539 (.701) | −.121 |
C5. | Students who stay in the area will apply their math skills to address local needs. | .157 | .031 | .418 (.54) | −.088 |
C6. | My students are accustomed to the sorts of projects that connect mathematics to everyday life. | .199 | −.074 | .389 (.498) | −.141 |
C7. | Students with strong math skills are likely to settle in this area. | −.085 | .154 | .258 (.34) | −.066 |
D1. | It’s easier to connect lower-level mathematics content to daily life than higher-level mathematics content. | .082 | .023 | .079 | .530 (.61) |
D2. | There are barriers that make it difficult to connect mathematics to students’ everyday lives. | −.037 | .033 | −.147 | .463 (.59) |
D3. | The mathematics of daily life matters more to the future of some of my students than it does to others. | −.007 | −.067 | .024 | .416 (.55) |
D4. | My typical student will need only basic mathematics in his/her daily life. | −.169 | .007 | −.066 | .310 (.366) |
D5. | Activities that connect math to the local community take up instructional time needed to address standards. | .009 | .008 | −.099 | .305 (.32) |
D6. | Algebra I (or the equivalent) is where you start to notice which students will be ready for college. | −.003 | −.103 | .099 | .303 (.38) |
D7. | Some students receive better academic opportunities because of his/her family’s local prominence. | .001 | −.032 | −.085 | .132 (.22) |
Appendix B
Factor correlation matrix
Factor | A | B | C | D |
---|---|---|---|---|
A | 1.000 | .120 | .463 | −.055 |
B | .120 | 1.000 | .267 | −.245 |
C | .463 | .267 | 1.000 | −.201 |
D | −.055 | −.245 | −.201 | 1.000 |
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Klein, R. (2015). Connecting Place and Community to Mathematics Instruction in Rural Schools. In: Gellert, U., Giménez Rodríguez, J., Hahn, C., Kafoussi, S. (eds) Educational Paths to Mathematics. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-15410-7_3
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