scholarly journals Beliefs About Effective Instructional Practices Among Middle Grades Teachers of Mathematics

Author(s):  
Lauren A. Dale

This study explores beliefs about effective mathematics instruction among middle grades teachers of mathematics. Using prior syntheses of research on instructional practices linked to students’ mathematics achievement, the conceptual framework draws on features and strategies associated with Explicit Attention to Concepts (EAC) and Student Opportunities to Struggle (SOS). Data sources include mathematics teachers’ self-reported priorities, comfort, and frequency of implementing EAC and SOS strategies, as well as the participants’ teaching context and school demographics. Participants include 98 full-time Grades 6-8 mathematics teachers from 22 districts, and 34 schools in southwest and central Idaho. Findings include positive correlations among EAC and SOS beliefs, comfort, and frequency of implementation, as well as differences across school settings, years of experience, and number of distinct mathematics courses taught.

2014 ◽  
Vol 116 (6) ◽  
pp. 1-30 ◽  
Author(s):  
Min Sun ◽  
Anne Garrison Wilhelm ◽  
Christine J. Larson ◽  
Kenneth A. Frank

Background/Context This article contributes to the literature on how teachers learn on the job and how schools and districts can support teacher learning to improve student learning and incorporate changing standards and curricular materials into instructional practices. The findings in this study are relevant to the implementation of ambitious mathematics instruction reform through changing teachers’ knowledge and instructional practices. Focus of Study This study examines how middle school teachers’ networks influence their mathematical knowledge for teaching (MKT) and instructional practices. We also examined how mathematics coaches’ expertise, in the form of MKT, plays a role in augmenting the extent to which teachers learn through interacting with close colleagues. Research Design The article draws on data from a larger NSF-funded study in four large, urban districts that responded to accountability pressures by attempting to implement ambitious mathematics instruction aligned with the recommendations of the National Council of Teachers of Mathematics (NCTM) and by supporting implementation with a significant investment in teacher learning. The analysis in this paper involves 89 focal participants who were middle school mathematics teachers in 29 schools, the focal participants’ close colleagues, and their instructional coaches. Measures include mathematics teachers’ professional networks, MKT, classroom practices, individual background characteristics, and school factors. We used hierarchical linear models with cross-level interaction effects and in-depth sensitivity analyses of the effects of close colleagues and coaches. Findings/Results Our results show that changes in teachers’ instructional practice were positively related to their access to instructional expertise through interactions with close colleagues. But, we did not find a similar significant relationship between changes in teachers’ MKT and access to their close colleagues’ MKT expertise. Rather, coaches’ MKT expertise positively moderated the extent to which teachers learned MKT from their close colleagues through seeking advice on teaching mathematics; that is, having an expert coach in the school enhanced the MKT learning opportunities that teachers had from interacting with close colleagues. Conclusions/Recommendations Results from this study shed light on how to support teachers’ on-the-job learning and successfully implement ambitious instructional reforms in schools. It is important for schools and districts to consider ways to encourage the development of teacher networks that can promote instructional changes. For example, schools and districts can purposely provide common planning time and common workspaces that facilitate sharing expertise among teachers. They can also support teachers with instructional coaches who have content expertise and know how to facilitate interactions among teachers.


Author(s):  
Amber Grace Candela

This chapter will provide readers with an overview of professional development created and enacted to support teachers' selection and implementation of cognitively demanding tasks using the Instructional Quality Assessment as the professional development tool. This case study seeks to give voice to mathematics teachers in third through eighth grades who participated in the professional development as they share their perspectives on using the instructional quality assessment rubrics and structure of professional development. The goal of this chapter is to provide an overview of the structure of the professional development, and share the aspects of the professional development the teachers identified as supportive or a hindrance when planning and implementing tasks in their mathematics classrooms. With this information, the article concludes by discussing ideas for future professional development aimed at providing teachers with instructional practices to incorporate into classrooms.


2015 ◽  
Vol 10 (3) ◽  
pp. 50 ◽  
Author(s):  
Sidney Eng ◽  
Derek Stadler

Abstract Objective - This study analyses both library expenditure and student retention. It seeks to determine if positive correlations found in a former study endure using more recent data or if alternative interpretations can be made. It includes the associate degree-granting colleges and examines whether library instruction has a greater significance on student retention over expenditure and if library instruction at the two-year college correlates to retention. Methods - The colleges and universities included in the study grant associate, bachelor, masters, and doctoral degrees, based on Carnegie Foundation classification. Data was analysed to determine if a correlation exists between the library and student persistence. Library statistics were drawn from the Association of College and Research Libraries (ACRL) Metrics database which provides reports collected from academic institutions. When aggregated, the ACRL report yielded total library expenditures, total salaries of professional staff, the professional staff full-time equivalent (FTE), fall semester student enrolment and data from a library instruction category of ACRL surveys for associate degree-granting institutions. Results - After replicating the same mathematical approach, the single category that has remained constant for all institutions is professional staff. While the former study’s analysis suggested that a relationship between library expenditure and retention existed in every Carnegie category, this study asserts that the same argument cannot be made for master’s degree-granting institutions. The findings here indicate that total library and professional salary expenditure had a negative correlation. Also, while an analysis of instruction at the two-year school level cannot make the case that expenditure and staffing significantly influence retention, they can justify that instruction plays a factor in whether a student persists with their education. Conclusion - The current research posits that there is no longer a relationship between library expenditure per se and student retention. Further research is needed to resolve the differences in the results of the study. Since there is a correlation between library instruction and retention at the two-year college, high-impact information literacy activities can form a bond between the student and the institution. Considering the low retention rates at the two-year school, a customised library instruction approach may be a solution to improving retention.


2016 ◽  
Vol 4 (2) ◽  
pp. 126-144 ◽  
Author(s):  
Amanda Milewski ◽  
Sharon Strickland

In this article we examine an analytical framework generated by secondary mathematics teachers for tracking changes to their own instructional practices across time. We describe the journey of this group of teachers through professional development focused on improving instructional practice. In the midst of that experience, teachers struggled to find an analytical tool to examine one another's practices of responding to students' mathematical ideas and ultimately overcame this problem by considering the practitioner literature and their own experiences. We also describe how we adapted the framework to investigate its use for detecting shifts in teachers' practices, sharing findings obtained from its use. Lastly, we argue for this type of collaborative work with teachers as a means to develop common language for instructional practice.


Author(s):  
Mary C. Enderson ◽  
Manveer Mann

This article describes how for many college students the transition to college-level mathematics courses presents new challenges beyond those that were part of the high school experience. In this interdisciplinary study forty-four non-mathematics and non-science majors, enrolled in a retail-buying course, were studied to examine student confidence in performing applied mathematical tasks, mathematics achievement in college, and the relationship between predictors of college success (mathematics studied in high school, SAT/ACT scores, and mathematics courses taken in college). Measurements used for the study included a subset of items from the Mathematics Self-Efficacy Scale (MSES) on a 5-point Likert-type scale, course grades, number of years studying mathematics in high school and number of mathematics courses in college. Findings indicate that mathematics courses taken in college increased confidence in working mathematical tasks and were significant predictors of achievement in the retail course. In addition, SAT/ACT scores also were critical to the overall mathematics achievement.


2011 ◽  
Vol 104 (6) ◽  
pp. 460-464
Author(s):  
Daniel Chazan ◽  
Dara Sandow

Secondary school mathematics teachers are often exhorted to incorporate reasoning into all mathematics courses. However, many feel that a focus on reasoning is easier to develop in geometry than in other courses. This article explores ways in which reasoning might naturally arise when solving equations in algebra courses.


1988 ◽  
Vol 81 (7) ◽  
pp. 533-537
Author(s):  
Shiela M. Strauss

With the advent of both the women's movement and a heightened national nterest in educational excellence, scholary attention has been focused on the success of females in mathematics. Sells (1978) Identified mathematics as the “critical filter” that could limit the range of career choices available to those who do not take an adequate number of high school mathematics courses. Casserly and Rock (1979) looked at factors that differentiate girls who enroll in Advanced Placement mathematics courses from those who do not. Studies of Fennema and Sherman (1977) demonstrated that gender differences in mathematics achievement are substantially reduced when the number of mathematics courses is controlled. Benbow and Stanley (1982), however, found that sex differences in mathematics achievement did not reflect differential mathematics course taking. Their study involved students in the Study of Mathematically Precocious Youth (SMPY) who, as seventh and eighth graders, scored as well as a national sample of eleventh- and twelfth-grade females on the S.A.T. mathematics and verbal tests


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