Typical Algebra assignments give students plenty of practice solving problems but little ...
Typical Algebra assignments give students plenty of practice solving problems but little or no practice with mathematical argumentation.
AlgebraByExample gives students practice solving problems and practice modeling, analyzing, critiquing and articulating mathematical arguments.
AlgebraByExample assignments contain items that are displayed as pairs. Some are incorrect examples for students to analyze. Then students complete a similar problem applying what they have just explained. Students also have the opportunity to analyze examples that are correct.
POSTER PROBLEMS: Fully Designed Lessons Ideal for Diagnostic Teaching in Mathematics Diagnostic ...
POSTER PROBLEMS: Fully Designed Lessons Ideal for Diagnostic Teaching in Mathematics
Diagnostic teaching elicits what students do and do not understand, and then adjusts instruction accordingly. To support diagnostic teaching in mathematics, SERP developed a set of 12 “Poster Problems”—two-day lessons taught in six instructional phases. Lessons are centered around engaging problem contexts that highlight critical mathematics concepts targeted by the Common Core State Standards. The problems are designed to elicit a variety of approaches to solution, ranging from below grade-level mathematics all the way up to grade-level mathematics (or beyond!). The varied responses give teachers an ideal opportunity to link multiple representations as they strategically lead students through discussion to an understanding of the grade-level mathematics. “Teacher tune-ups” provided with each problem focus teachers’ attention on the grade-level mathematics and on the variety of thinking they are likely to encounter among students.