Common Core Standards for Mathematical Practice and TPACK

2015 ◽  
pp. 92-107
Author(s):  
Jayme Linton ◽  
David Stegall

This chapter seeks to answer the guiding question: How does the TPACK (Technological Pedagogical Content Knowledge) framework influence how technology can support the implementation of the Common Core Standards for Mathematical Practice? The authors provide an overview of the Standards for Mathematical Practice and an application of the TPACK framework to the Common Core State Standards for Mathematics. Classroom scenarios describe how teachers can use the TPACK framework to integrate technology into the Standards for Mathematical Practice from kindergarten to eighth grade. The authors conclude with implications for professional developers, teacher educators, and administrators as they work to develop teachers' TPACK and prepare teachers for implementing the Common Core State Standards for Mathematics.

Author(s):  
Jayme Linton ◽  
David Stegall

This chapter seeks to answer the guiding question: How does the TPACK (Technological Pedagogical Content Knowledge) framework influence how technology can support the implementation of the Common Core Standards for Mathematical Practice? The authors provide an overview of the Standards for Mathematical Practice and an application of the TPACK framework to the Common Core State Standards for Mathematics. Classroom scenarios describe how teachers can use the TPACK framework to integrate technology into the Standards for Mathematical Practice from kindergarten to eighth grade. The authors conclude with implications for professional developers, teacher educators, and administrators as they work to develop teachers’ TPACK and prepare teachers for implementing the Common Core State Standards for Mathematics.


Author(s):  
Mary Grassetti ◽  
Silvy Brookby

The Standards for Mathematical Practice as delineated in the Common Core State Standards for Mathematics describe the processes, proficiencies, and habits of mind that students are expected to develop through their engagement with mathematics (Dacey & Polly, 2012). The purpose of this chapter is to discuss, anecdotally, how the iPad, a tablet computer designed by Apple ™, can be used to develop preservice teachers’ understanding and implementation of the Standards for Mathematical Practice, most specifically Mathematical Practice Standard 3: Construct viable arguments and critique the reasoning of others. Under examination are the authors’ experiences using the iPad as an observational tool during student teaching and as a teaching tool in their mathematics methods courses. The chapter concludes with suggestions for additional uses of the iPad to support preservice teachers as they work to develop their understanding of the Standards for Mathematical Practice.


2012 ◽  
Vol 18 (9) ◽  
pp. 566-573 ◽  
Author(s):  
Drew Polly ◽  
Chandra Orrill

To support mathematics educators as they consider implications of the Common Core State Standards for Mathematics (CCSSM) for instruction and assessment, Teaching Children Mathematics is publishing a series of feature articles. In this fourth installment, authors Polly and Orrill suggest implementation strategies for grades 5 and 6. A final, cohesive article will appear in the August 2012 issue. Authored by Susan Jo Russell, the last piece concentrates on the implementation of the eight Standards of Mathematical Practice (SMP) and the constellations of Practices and Standards.


2013 ◽  
Vol 106 (9) ◽  
pp. 710-714
Author(s):  
Dean B. Priest ◽  
Ronald G. Smith ◽  
Christin Carlisle ◽  
Rebecca Mays

Mathematics is not a “handbag of tricks” but rather a discipline of inquiry and creativity, as Nabb (2010-11) notes, and he has shared his methods and excitement for the inquiry approach. By engaging calculus students in a search for examples of infinite series that meet certain conditions, or arguments that such series do not exist, Nabb appropriately aligns his teaching with the Standards for Mathematical Practice found in the Common Core State Standards (CCSSI 2010). In particular, three Standards for Mathematical Practice come to mind: (a) “make sense of problems and persevere in solving them”; (b) “reason abstractly and quantitatively”; and (c) “model with mathematics” (CCSSI 2010, pp. 6-8).


2020 ◽  
Author(s):  
◽  
Aloze Ogbonna

Problem In the State of New York, the adoption and implementation of the Common Core State Standards (CCSS) and associated high-stakes assessments have sparked debates among educators, parents, students and politicians. Educators are concerned about its impact on students' test scores, graduation rates and school funding. With mounting accountability threats, teachers are forced to teach to the test in order to produce desirable test scores (Zimmerman, 2010, as cited in Pinar, 2012, p.17). Unfortunately, there were no studies that promoted understanding of teachers' concerns and the extent to which they were implementing the CCSS. The purpose of this study was to investigate teachers' concerns and the extent to which they were implementing the CCSS in language arts in the state of New York. Method The design of this study is a non-experimental quantitative design using survey research methodology. A survey using a modified Stages of Concern Questionnaire (SoCQ) and a researcher-developed implementation of language arts core standards questionnaire were given to Grades 6-12 ELA teachers from 75 selected schools in New York state. Seventy-five teachers responded to the questionnaire with 53 useable responses. The data was analyzed using descriptive statistics and bivariate correlation. Results Respondents were mostly from urban/suburban schools (90.4%). Teachers implement 13 of the 15 common core standards in language arts at least once a week (M=4.02 to M=6.15). Levels of implementation were similar in both middle and high schools (p>.05) and appear to be unrelated to number of years implementing the CCSS. Approximately half (52.8%) were at concern stages 4 to 6. And overall, there is no relationship between stage of concern and levels of implementation of the common core standards. Conclusions Teachers are adequately implementing language arts common core standards in New York. Half of the teachers' concerns are generally about how implementation of the standards affect their students and their colleagues. The other half are concerned about how implementation affects them personally. To achieve the objective of the curriculum and the Every Student Succeeds Act (ESSA), teachers must continue to receive targeted professional development in their identified areas of needs.


2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Evrim Erbilgin

This study compares Turkey's and Singapore's mathematics content standards in terms of the highligthed mathematical processes. A mathematical processes framework was employed to analyze the content standards drawing on the standards for mathematical practice defined by the Common Core State Standards for Mathematics. The standards for mathematical practice include make sense of problems and persevere in solving them, reason abstractly and quantitatively, construct viable arguments and critique the reasoning of others, model with mathematics, use appropriate tools strategically, attend to precision, look for and make use of structure, look for and express regularity in repeated reasoning. The data sources are 2013 mathematics curriculum standards of Turkey and 2013 mathematics syllabus of Singapore for grades 7 and 8. Data analysis revealed that the two countries reflected mathematical processes differently in their content standards. Some mathematical processes are not identified in Turkey's content standards  while all mathematical processes are observed in Singapore's content standards. The distribution of the observed mathematical processes are also different in the two countries. Suggestions for future content standards revisions are shared in the paper.


2012 ◽  
Vol 18 (8) ◽  
pp. 515

In 2010, the Common Core State Standards for Mathematics (CCSSM) document was released. The Teaching Children Mathematics (TCM) Editorial Panel is interested in the next steps that are being taken in school communities to integrate CCSSM into classroom practice. We encourage articles that offer exemplary classroom-tested ideas, insights into integration of grade-level content emphasizing the Standards of Mathematical Practice (SMP), or suggestions regarding challenging issues facing classroom teachers working toward implementation.


2019 ◽  
Vol 50 (4) ◽  
pp. 349-361 ◽  
Author(s):  
Filiberto Barajas-López ◽  
Gregory V. Larnell

In their commentary, “Toward a Framework for Research Linking Equitable Teaching with the Standards for Mathematical Practice,” Bartell et al. (2017) provide a stepping-stone into the challenge of clarifying the interface between equity and standards setting in mathematics education by devising a framework that relates the Common Core State Standards for Mathematics to an explicit articulation of equitable teaching practices. In this commentary, we respond to this proposed framework and aim to clarify some key elements. Furthermore, we draw on our own positionings and scholarly interests to critique and bolster the framework by focusing on the tensions related to co-opting the Common Core for equity-oriented purposes, the framework's relationship to neoliberalism, and the role of racialized rhetoric and nondominant family and community knowledge.


2013 ◽  
Vol 44 (2) ◽  
pp. 340-352 ◽  
Author(s):  
James E. Tarr ◽  
Erica N. Walker ◽  
Karen F. Hollebrands ◽  
Kathryn B. Chval ◽  
Robert Q. Berry III ◽  
...  

During the past 2 decades, significant changes in mathematics curriculum standards and policies have brought greater attention to assessment instruments, practices, purposes, and results. In moving toward stronger accountability, the No Child Left Behind Act (NCLB) of 2001 (NCLB, 2002) mandates that school districts receiving funding under NCLB formulate and disseminate annual local report cards that include information on how students and each school in the district performed on state assessments. This mandate has not only facilitated a growth in state testing (Wilson, 2007) but also influenced the teaching of mathematics (Seeley, 2006). More recently, the National Governors Association Center for Best Practices (NGA Center) and the Council of Chief State School Officers (CCSSO) crafted and launched the Common Core State Standards for Mathematics (NGA Center & CCSSO, 2010), which have been formally adopted by the vast majority of U.S. states and territories. The Common Core State Standards for Mathematics (CCSSM) specifies standards for mathematical content by grade in K–8 and by conceptual categories at the secondary level and identifies key Standards for Mathematical Practice that should be present in K–12 instruction. The CCSSM represents an unprecedented initiative to raise academic standards in school mathematics that will inevitably influence the development of curriculum materials, teaching, and assessment practices.


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