Activities for Students: Predicting Future Gas Prices Using the Standards for Mathematical Practice

2014 ◽  
Vol 107 (9) ◽  
pp. 694-700
Author(s):  
Stephen F. Bismarck ◽  
Jeremy Zelkowski ◽  
Jim Gleason

“How much do you think gas will cost when I graduate from high school?” Like many commodities, the price of gasoline continues to rise, and these price changes are readily observed in gas stations' signage. Moreover, algebraic methods are well suited to model price change and answer the student's question. Over the course of one ninetyminute block or two forty-five-minute classes, students build functions and interpret them in context. This article presents the activity, describes its implementation, provides sample student work, and discusses its relationship to the Standards for Mathematical Practice from the Common Core State Standards. Data used in the activity are available at http://data.bls.gov/cgi-bin/surveymost?ap.

2018 ◽  
Vol 120 (6) ◽  
pp. 1-36
Author(s):  
Zeyu Xu ◽  
Kennan Cepa

Background As of 2016, 42 states and the District of Columbia have adopted the Common Core State Standards (CCSS). Tens of millions of students across the country completed high school before their schools were able to fully implement the CCSS. As with previous standards-based reforms, the transition to the CCSS-aligned state education standards has been accompanied by curriculum framework revisions, student assessment redesigns, and school accountability and educator evaluation system overhauls. Purpose Even if the new standards may improve student learning once they are fully implemented, the multitude of changes at the early implementation stage of the reform might disrupt student learning in the short run as teachers, schools, and communities acclimate to the new expectations and demands. The goal of this study is not to evaluate the merits and deficiencies of the CCSS per se, but rather to investigate whether college readiness improved among high school students affected by the early stages of the CCSS implementation, and whether students from different backgrounds and types of high schools were affected differently. Research Design We focus on three cohorts of 8theighth-grade students in Kentucky and follow them until the end of the 11th -grade, when they took the state mandatory ACT tests. The three successive cohorts—enrolled in the 8theighth -grade between 2008 and 2010—each experienced different levels of exposure to CCSS transition. Using ACT scores as proxy measures of college readiness, we estimate cohort fixed-effects models to investigate the transitional impact of standards reform on student performance on the ACT. To gauge the extent to which the implementation of CCSS is directly responsible for any estimated cross-cohort differences in student ACT performance, we conduct additional difference-in-differences analyses and a falsification test. Data Our data include the population of 3 three cohorts of 8theighth -graders enrolled in Kentucky public schools between 2008 and 2010. The total analytic sample size is 100,212. The data include student test scores, student background characteristics, and school characteristics. Findings In the case of the CCSS transition in Kentucky, our findings suggest that students continued to improve their college -readiness, as measured by ACT scores, during the early stages of CCSS implementation. Furthermore, evidence suggests that the positive gains students made during this period accrue to students in both high- and low-poverty schools. However, it is not conclusive that the progress made in student college -readiness is necessarily attributable to the new content standards. Conclusions As we seek to improve the education of our children through reforms and innovations, policymakers should be mindful about the potential risks of excessive changes. Transition issues during the early stages of major educational changes sometimes lead to short-term effects that are not necessarily indicative of the longer-term effects of a program or intervention. Nevertheless, standards-based reforms are fairly frequent, and each takes multiple years to be fully implemented, affecting millions of students. Therefore, we encourage researchers and policymakers to pay more attention to the importance of transitional impact of educational reforms.


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.


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.


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.


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).


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.


2013 ◽  
pp. 1254-1269
Author(s):  
Woong Lim ◽  
Dong-Gook Kim

This chapter reviews the roles of technology in statistics education and introduces technologies available for classroom use. A few concrete examples of how select technologies support the teaching of probability and statistics guided by the Common Core State Standards in Mathematics of high school Probability and Statistics (CCSSM-PS) are presented. The reality of the implementation of the CCSSM poses a rather exciting opportunity for all of us in mathematics education. It presents an opportunity to plan and create mathematics lessons based on good teaching strongly tied with technology. As the efficacy of the CCSSM-PS hinges on how teachers draw upon their content knowledge to facilitate student learning through technology, it is significant to provide professional development programs that help teachers infuse technology with the teaching of probability and statistics.


Author(s):  
Woong Lim ◽  
Dong-Gook Kim

This chapter reviews the roles of technology in statistics education and introduces technologies available for classroom use. A few concrete examples of how select technologies support the teaching of probability and statistics guided by the Common Core State Standards in Mathematics of high school Probability and Statistics (CCSSM-PS) are presented. The reality of the implementation of the CCSSM poses a rather exciting opportunity for all of us in mathematics education. It presents an opportunity to plan and create mathematics lessons based on good teaching strongly tied with technology. As the efficacy of the CCSSM-PS hinges on how teachers draw upon their content knowledge to facilitate student learning through technology, it is significant to provide professional development programs that help teachers infuse technology with the teaching of probability and statistics.


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