Local Lotto

2018 ◽  
pp. 387-407
Author(s):  
Vivian Lim ◽  
Erica Deahl ◽  
Laurie Rubel ◽  
Sarah Williams

Local Lotto is a 14-session curriculum designed for high school students to learn mathematics through an examination of the local lottery. The curriculum is organized around investigations of how local lottery games are won, who plays, how many people play, and where lottery revenues and prizes are distributed. A web-based application is integrated into the curriculum to allow students to explore the lottery in their school neighborhood, examine local lottery data, and assemble and justify their own arguments about the lottery. In this chapter, the authors describe technology's role in shaping a rich curriculum that engages students in investigating a local phenomenon while also addressing the content and practices of the Common Core State Standards of Mathematics. The chapter concludes with an outline of the challenges of integrating custom technologies into mathematics curricula and provides recommendations for future work.

Author(s):  
Vivian Lim ◽  
Erica Deahl ◽  
Laurie Rubel ◽  
Sarah Williams

Local Lotto is a 14-session curriculum designed for high school students to learn mathematics through an examination of the local lottery. The curriculum is organized around investigations of how local lottery games are won, who plays, how many people play, and where lottery revenues and prizes are distributed. A web-based application is integrated into the curriculum to allow students to explore the lottery in their school neighborhood, examine local lottery data, and assemble and justify their own arguments about the lottery. In this chapter, the authors describe technology's role in shaping a rich curriculum that engages students in investigating a local phenomenon while also addressing the content and practices of the Common Core State Standards of Mathematics. The chapter concludes with an outline of the challenges of integrating custom technologies into mathematics curricula and provides recommendations for future work.


2014 ◽  
Vol 108 (3) ◽  
pp. 218-224
Author(s):  
David R. Martin

inding patterns and making conjectures are important thinking skills for students at all levels of mathematics education. Both the Common Core State Standards for Mathematics and the National Council of Teachers of Mathematics speak to the importance of these thought processes. NCTM suggests that students should be able to recognize reasoning and proof as fundamental aspects of mathematics, make and investigate mathematical conjectures, develop and evaluate mathematical arguments and proofs, and select and use various types of reasoning and methods of proof. CCSS states that students should “make conjectures and build a logical progression of statements to explore the truth of their conjectures” (CCSSI 2010, p. 6). This activity makes such reasoning accessible to high school students with some previous study of trigonometry.


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):  
Amy Jensen Lehew ◽  
Drew Polly

This chapter describes the process of developing Web-based resources to support elementary school teachers' implementation of the Common Core State Standards in Mathematics in a large urban school district in the southeastern United States. Based on a learner-centered approach to teacher professional development the authors describe a three-fold process of supporting teachers: providing opportunities for teachers to deepen their understanding of the CCSSM, providing curricular resources that align with the CCSSM, and providing ongoing support through teachers' implementation of the CCSSM. Implications for the development of Web-based resources and researching these types of endeavors are also shared.


Author(s):  
Christie Martin ◽  
Drew Polly

The Common Core State Standards in Mathematics and English/Language Arts necessitate that teachers provide opportunities for their students to write about mathematical concepts in ways that extend beyond simply a summary of how students solve mathematical tasks. This chapter describes a series of vignettes about how digital tools can provide elementary school students with the opportunity to write about mathematics concepts that they are working with. Implications for providing these opportunities to elementary school students and supporting teachers are also provided.


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.


2014 ◽  
pp. 498-504
Author(s):  
Amy Jensen Lehew ◽  
Drew Polly

This chapter describes the process of developing Web-based resources to support elementary school teachers' implementation of the Common Core State Standards in Mathematics in a large urban school district in the southeastern United States. Based on a learner-centered approach to teacher professional development the authors describe a three-fold process of supporting teachers: providing opportunities for teachers to deepen their understanding of the CCSSM, providing curricular resources that align with the CCSSM, and providing ongoing support through teachers' implementation of the CCSSM. Implications for the development of Web-based resources and researching these types of endeavors are also shared.


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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