High

To make sense of the Common Core State Standards mathematical practice (MP) 8, this article illustrates what “repeated reasoning” means, why looking for and expressing regularity in it is such a valuable mathematical habit of mind, and how that differs from analyzing structure (MP 7) and from finding patterns in numerical results. 

Mathematics standards in the United States describe communication as an essential part of mathematics. One outlet for communication is writing. To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention, or survey for students in 1st through 12th grade. All studies were published between 1991 and 2015.

When it’s time for a game change, you need a guide to the new rules. Helping Students Make Sense of the World Using Next Generation Science and Engineering Practices provides a play-by-play understanding of the practices strand of A Framework for K–12 Science Education (Framework) and the Next Generation Science Standards (NGSS). Written in clear, nontechnical language, this book provides a wealth of real-world examples to show you what’s different about practice-centered teaching and learning at all grade levels. The book addresses three important questions:

When it’s time for a game change, you need a guide to the new rules. Helping Students Make Sense of the World Using Next Generation Science and Engineering Practices provides a play-by-play understanding of the practices strand of A Framework for K–12 Science Education (Framework) and the Next Generation Science Standards (NGSS). Written in clear, nontechnical language, this book provides a wealth of real-world examples to show you what’s different about practice-centered teaching and learning at all grade levels. The book addresses three important questions:

Assumptions about the superiority of hands-on use of computer simulations over projecting them in whole class have seldom been tested. Contrary to expectations, preliminary pre-post results from two lesson sequences yielded no evidence for an advantage for students in the hands-on condition. We conduct qualitative analyses of one of the lesson sequences, in which a popular simulation was used in eight high school physics class sections, half in whole class discussion and half in small groups.

Price, N., & Clement, J. J. (2014). Generating, evaluating, and modifying scientific models using projected computer simulations. Science Scope, 38(2), 39-46. Retrieved from http://www.jstor.org/stable/43184784

In this study, we analyzed the participation of teachers and students during their co-construction of explanatory models for concepts in circuit electricity in two high school physics classes. While students in both teachers’ classes experienced comparable levels of impressive pre to post-instructional test gain differences over controls, analysis of class discussions showed that considerable differences existed between the two groups in the ratios of student-to-teacher contributions to the development of explanatory models.

Students’ inaccurate ideas about what is represented by chemical equations and concepts underlying stoichiometry are well documented; however, there are few classroom-ready instructional solutions to help students build scientifically accurate ideas about these topics central to learning chemistry. An intervention (two inquiry-based activities) was developed, piloted, and evaluated with common misconceptions in mind.

This book focuses on the preparation of secondary science teachers to teach science to English Learners (EL) and is based on the SSTELLA (Secondary Science Education with English Language and Literacy Acquisition) project that has been implemented in four pre-service teacher education programs in Arizona, California and Texas, all states with large populations of EL.