This paper reports on teachers developing their own data literacy and then acting as data coaches for colleagues in their schools. The 13 teachers from 7 schools in the study analysed standardised data using a data conversation protocol to identify students with significant mathematical misconceptions. They then took data-informed action with…

This critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges…

How can water and a penny demonstrate the power of mathematics and molecular theory? Do spelling and punctuation really matter to the human brain? The third of Thomas O'Brien's books designed for 5-12 grade science teachers, "Even More Brain-Powered Science" uses the questions above and 11 other inquiry-oriented discrepant events--experiments or…

Mathematics teachers face a myriad of instructional obstacles. Since the early 1990s, mathematics education researchers have proposed the use of constructivist practices to counteract these ever-prevalent obstacles. While we do give credit to the choices of instructional activities the constructivist paradigm promotes, there are problems with its…

The Literacy Design Collaborative (LDC) incorporates challenging literacy standards into middle grades and high school content areas within a variety of academic disciplines, not just English/language arts courses. The Mathematics Design Collaborative (MDC) provides schools with instructional tools needed to help teachers understand and implement…

Mathematics and science are important for success in school, but learning mathematics and science can be a difficult task to some students. Efforts to improve students' learning of school mathematics and science have led to reform efforts in curriculum and instruction over the past decades (e.g., National Council of Teachers of Mathematics [NCTM],…

We have been studying children's responses on key stages 2 and 3 national mathematics tests. We have been particularly interested in children's methods and misconceptions that provide teachers with insight into children's thinking so that they can take action to challenge and extend it. We have found that the common errors occur across both key…

Contends that the role of mistakes and corrections of mistakes in classroom practice reveals a certain philosophy of mathematics and that the way mistakes are handled promotes such an implicit philosophy. (MKR)

Discusses the image the populace has of mathematics. Suggest ways of overcoming the misconception of mathematics. (ASK)

Students react similarly to a wide variety of conceptually unrelated situations. Describes a rule that is manifested when two systems are equal with respect to certain quantity A, but differ in another quantity B. Indicates that in such situations students often argue that the same amount of A implies the same amount of B. (Contains 30…

Presents an experimental study on students' strategies and association judgments when faced with comparison of a numerical variable in two different samples. Classifies the strategies from a mathematical standpoint to identify theorems in action and two types of misconceptions about association. Contains 21 references. (Author/ASK)

Presents a joint work of mathematics and science educators that suggests that many responses that literature describes as alternative conceptions are interpreted as if they evolved from a small number of intuitive rules. Demonstrates the explanatory and predictive power of these intuitive rules. (Contains 36 references.) (Author/ASK)

This book reports on students' reactions to different situations in mathematics and science education. A theory is presented to explain and predict students' responses which is based on these observations. The identified rules of the theory of intuitive rules is explained. Chapters include: (1) "How Children and Adults Use the Intuitive Rule 'More…

Discusses Vygotsky's theories about concept formation, his distinctions between everyday and theoretical concepts, and how empirical generalizations can lead to misconceptions. Examines the implications of these theories for mathematics instruction and its relationship to the current mathematics reform. (34 references) (MDH)

United States has produced a generation of students who engage in problem solving without regard for common sense or the text of the problem. Three factors bear the blame: societal beliefs about mathematics, the typical math curriculum, and deficiencies in teacher preparation. New conceptions about learning should help spawn curriculum,…