Dawn Teuscher

Common Mathematics Standards in the United States: A Comparison of K-8 State and Common Core Standards.

This article reports the findings from a comparative analysis that examined several mathematical content strands, reasoning processes, and emphasis on technology in prior K–8 state mathematics standards and the Common Core State Standards for Mathematics (CCSSM). Various methodological tools were utilized to compare and contrast CCSSM with prior state standards. Results suggest four primary types of shifts in CCSSM when compared to prior state standards: (1) changes in grade level(s) at which some mathematical content is taught, (2) changes in the number of grade levels in which particular mathematical topics appear, (3) changes in emphasis (increased/decreased) on particular mathematical topics, and (4) changes in the nature and level of reasoning expectations.

From a Framework to a Lens: Learning to Notice Student Mathematical Thinking

Teaching is a complex endeavor that necessarily requires teachers to attend to some activities and ignore others. This case study focuses on prospective teachers’ learning to notice student mathematical thinking. We frame our view of noticing with the professional noticing framework (Jacobs, Lamb, & Philipp, in Journal for Research in Mathematics Education 41:169–202, 2010), and our view of student mathematical thinking with the MOST analytical framework (Leatham, Peterson, Stockero, & Van Zoest, in Journal for Research in Mathematics Education 46:88–124, 2015). We share evidence that a research experience that focused prospective teachers in a sustained, intense experience focused on articulating student mathematical thinking through focused video analysis influenced their ability to notice in-the-moment student mathematical thinking during their student teaching experience.