Are There Any Places That Students Use Their Heads? Principles of High-Quality Japanese Mathematics Instruction

2010 ◽  
Vol 41 (5) ◽  
pp. 438-478 ◽  
Author(s):  
Douglas L. Corey ◽  
Blake E. Peterson ◽  
Benjamin Merrill Lewis ◽  
Jared Bukarau

Previous research gives evidence that Japanese mathematics teachers “may have a more detailed and widely shared theory about how to teach effectively” when compared to their U.S. counterparts (Jacobs & Morita, 2002). This study explores the conceptions and cultural scripts of a group of Japanese mathematics teachers by analyzing the conversations between cooperating teachers and student teachers. It describes 6 principles of high-quality instruction that arose in at least half the conversations we analyzed. Each of these principles is examined in detail. Finally, some advantages of having a strong, shared conception of high-quality instruction and focusing on widely applicable instructional principles are presented.

2003 ◽  
Vol 9 (9) ◽  
pp. 499-501
Author(s):  
Timothy A. Boerst

In rooms a bit smaller or larger than 24' × 30', millions of schoolchildren across the country learn valuable mathematics from teachers who masterfully integrate knowledge of mathematics, curriculum, and students to enact high-quality instruction. One of the biggest challenges to improving mathematics education may lie not in standard-setting, teacher recruitment, or accountability but in encouraging mathematics teachers to share their knowledge and practices with those outside the 24' × 30' space in which they teach every day. Teachers tend to treat their knowledge of teaching in ways that remove it from benefiting the profession (Shulman 1993). What teachers know and can do certainly impacts the hundreds, and possibly thousands, of students they teach over the course of their careers. Imagine the impact if mathematics teachers routinely shared their complex, refined understandings of teaching in ways that could be built on to benefit other students and teachers. If we hope to ensure NCTM's vision of quality mathematics instruction for all students, we must move beyond the private production and possession of mathematics teaching knowledge.


2016 ◽  
Vol 12 (3) ◽  
pp. 183-214 ◽  
Author(s):  
Melissa D. Boston ◽  
Erin C. Henrick ◽  
Lynsey K. Gibbons ◽  
Dan Berebitsky ◽  
Glenn T. Colby

We present a framework for considering principals’ knowledge and actions to support high-quality instruction in a specific content area (mathematics). Using design research, we engaged principals in professional development and assessed principals’ ability to identify aspects of high-quality mathematical tasks and instruction through pre–post task sort analyses and classroom video analyses. Significant differences occurred in principals’ identification of high-quality mathematics tasks and instruction, students’ thinking, and teachers’ actions. Subsequent data identified changes in principals’ feedback to mathematics teachers; however, this change was not sustained in following years. We hypothesize necessary conditions for supporting principals as instructional leaders in specific content areas.


2014 ◽  
Vol 45 (5) ◽  
pp. 584-635 ◽  
Author(s):  
Charles Munter

This article introduces an interview-based instrument that was created for the purposes of characterizing the visions of high-quality mathematics instruction of teachers, principals, mathematics coaches, and district leaders and tracking changes in those visions over time. The instrument models trajectories of perceptions of high-quality instruction along what have been identified in the literature as critical dimensions of mathematics classroom practice. Included are a description of the methods by which an analysis of interview data was integrated with previous findings from the research literature in order to develop leveled rubrics for assessing visions of high-quality mathematics instruction, a report of the results of using the instrument to code more than 900 interviews, and a discussion of the possible applications and benefits of such a methodological approach.


AERA Open ◽  
2021 ◽  
Vol 7 ◽  
pp. 233285842110271
Author(s):  
David J. Purpura ◽  
Ellen C. Litkowski ◽  
Robert J. Duncan ◽  
Jessica A. R. Logan

In response to Fuson et al.’s commentary on Litkowski et al. (2020), we clarify and expand on three areas: (1) the need for prekindergarten standards, (2) the value in developmental survey work, and (3) the importance of understanding curriculum translation and uptake. Specifically, we note that standards need to be appropriate for grade-level and it is time for more aligned prekindergarten standards. Developmental survey work is critical for ensuring that standards and expectations are accurate and adjusted to meet current needs and can be used address equity issues in instruction. Furthermore, we agree that intervention and curriculum work are needed, but there should be explicit emphasis on enhancing uptake and use of high-quality instruction. Ultimately, we need a system of assessment and instruction that is continually updated and improved, that integrates and modifies new evidence over time to ensure that we are striving for—and attaining—the best results for young children.


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.


2020 ◽  
Vol 1 (1) ◽  
pp. 31
Author(s):  
Dwiyani Pratiwi

<p>This paper presents a review of the research literature on practicum. Since there have been changes in trends in Teaching Education since the 1960s that also influenced the shift of research topics on practicum, this paper first gives a short review of the research trends in general TE, changing from the teaching process-product paradigm to the investigation of teachers’ mental lives or cognition. Then the actual review will focus on the studies related to the teachers’ beliefs, perspectives, perceptions, understanding, and reasoning, and follows under these topics: student teachers learning, cooperating teachers, and school-university cooperation in the practicum. At the end of this paper, some future studies on teaching practicum are suggested.  </p>


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