In this response to Kalenic-Craig's (2017) article, "The Rights of the Learner: A Framework For Promoting Equity through Dynamic Formative Assessment," I consider what implications the RotL framework has for the work that teachers and students must do in learning environments where these rights flourish. The RoTL emphasizes student…

Recent federal education policies and reports have generated considerable debate about the meaning, methods, and goals of "scientific research" in mathematics education. Concentrating on the critical problem of determining which educational programs and practices reliably improve students' mathematics achievement, these policies and reports focus…

Discusses errors made by remedial intermediate algebra students in factoring polynomials in light of student definitions of factoring. Found certain beliefs about factoring to logically imply many of the errors made. Suggests that belief-based teaching can be successful in teaching factoring. (16 references) (Author/MKR)

Illustrates, categorizes, and analyzes typical mathematical errors in algebra and trigonometry made by high school and lower division college students. (16 references) (Author/MKR)

A set of brief reflections about different aspects of mathematical errors and their roles in education is given. The nature and variety of errors and their positive use in learning mathematics are highlighted. (MNS)

Discusses the use of feedback from students and the analysis of students' error patterns to understand why students develop misconceptions in mathematics. Looks at learning vis-a-vis the abstract nature of mathematics and the students' cognitive development. (MDH)

Advances the idea that performance errors should contribute positively to the process of learning. Argues that errors do not occur randomly and that instructional theory should not condemn errors, but seek them. (PK)

Diagnostic/prescriptive mathematics was examined to ask whether a sufficient body of professional knowledge and practices exist to warrant its inclusion in teacher preparation. Argues that diagnostic/prescriptive mathematics does constitute an appropriate topic for consideration as content in revised teacher preparation programs. (PK)