Activities for Students: Filling a Square with a Curve

2014 ◽  
Vol 108 (3) ◽  
pp. 218-224
Author(s):  
David R. Martin
Keyword(s):  
High School Students ◽  
Common Core State Standards ◽  
Thinking Skills ◽  
State Standards ◽  
National Council ◽  
Thought Processes ◽  
Core State ◽  
School Students ◽  
Mathematical Arguments ◽  
The Common

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.

Local Lotto

2018 ◽  
pp. 387-407
Author(s):  
Vivian Lim ◽  
Erica Deahl ◽  
Laurie Rubel ◽  
Sarah Williams
Keyword(s):  
High School ◽  
High School Students ◽  
Common Core State Standards ◽  
State Standards ◽  
Core State ◽  
School Students ◽  
Web Based ◽  
The Common ◽  
Mathematics Curricula ◽  
Future Work

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.

Local Lotto

2015 ◽  
pp. 43-67 ◽  
Author(s):  
Vivian Lim ◽  
Erica Deahl ◽  
Laurie Rubel ◽  
Sarah Williams
Keyword(s):  
High School ◽  
High School Students ◽  
Common Core State Standards ◽  
State Standards ◽  
Core State ◽  
School Students ◽  
Web Based ◽  
The Common ◽  
Mathematics Curricula ◽  
Future Work

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.

Employing Digital Tools to Support Writing in Mathematics and the Implementation of the Common Core State Standards

2014 ◽  
pp. 419-430
Author(s):  
Christie Martin ◽  
Drew Polly
Keyword(s):  
Elementary School ◽  
Elementary School Students ◽  
Common Core ◽  
Common Core State Standards ◽  
State Standards ◽  
Digital Tools ◽  
Core State ◽  
School Students ◽  
Mathematical Concepts ◽  
The Common

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.

Principles to Actions: Mathematics Programs as the Core for Student Learning

2014 ◽  
Vol 107 (9) ◽  
pp. 656-658
Author(s):  
Daniel Brahier ◽  
Steve Leinwand ◽  
DeAnn Huinker
Keyword(s):  
Mathematics Education ◽  
Common Core ◽  
Common Core State Standards ◽  
State Standards ◽  
National Council ◽  
Core State ◽  
Evaluation Standards ◽  
The Core ◽  
The Common ◽  
Systemic Improvement

The National Council of Teachers of Mathematics (NCTM) launched the “standards-based” education movement in North America in 1989 with the release of Curriculum and Evaluation Standards for School Mathematics, an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the widespread adoption of the Common Core State Standards for Mathematics (CCSSM) by forty-five states provides an opportunity to reenergize and focus our commitment to significant improvement in mathematics education (CCSSI 2010).

Challenging the Research Base of the Common Core State Standards

2013 ◽  
Vol 42 (7) ◽  
pp. 381-391 ◽  
Author(s):  
David A. Gamson ◽  
Xiaofei Lu ◽  
Sarah Anne Eckert
Keyword(s):  
Common Core ◽  
Common Core State Standards ◽  
State Standards ◽  
Core State ◽  
The Common

The Back Page: My Favorite Lesson: Modeling Exponential Decay

2013 ◽  
Vol 107 (5) ◽  
pp. 400
Author(s):  
Alison L. Mall ◽  
Mike Risinger
Keyword(s):  
Data Collection ◽  
Exponential Decay ◽  
Common Core ◽  
Common Core State Standards ◽  
State Standards ◽  
Core State ◽  
Statistics And Probability ◽  
The Common

Our favorite lesson, an interactive experiment that models exponential decay, launches with a loud dice roll. This exploration engages students in lively data collection that motivates interest in key components of the Common Core State Standards for Mathematics: functions, modeling, and statistics and probability (CCSSI 2010).

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