Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

During the author's eighteen-year tenure as a high school mathematics teacher, there has been one question that she has yet to answer: "Why don't students do homework?" On the basis of research, many factors may lead to a student leaving homework undone. A student may lack the drive to complete work out of school. Or a student may choose…

The paper reports a quasi-experimental study comparing the "traditional flipped classroom" pedagogical design with the "productive failure" (Kapur, 2016) pedagogical design in the flipped classroom for a 2-week curricular unit on polynomials in a Hong Kong Secondary school. Different from the flipped classroom where students…

A discussion of the use of mathematics problems containing erroneous statements and the use of mutual consultation by students on the solution of mathematics problems. Critical questioning ability of students is enhanced through the utilization of both these procedures, according to the author. (JG)

This qualitative research investigated the effect of a homework model designed to develop students' problem solving behaviors by advancing their ownership of understanding and responsibility. Students were expected to be active learners by isolating and communicating points of homework confusion. The teachers in this study provided feedback…

This study examined achievement differences between algebra students taught with the non-traditional textbook developed by Saxon and those taught with a "traditional" textbook by Dolciani. Student absences, rate of turning in homework, and ability level were considered, as well as teachers' comments. One Algebra I section in each of…

Presents three teaching ideas: (1) a scoring rubric to assess students' ability to communicate attempts at solving homework problems; (2) a three-part measurement activity using trigonometry, maps, and compasses to locate hidden treasure; and (3) a demonstration of the effects of numerical coefficients on graphs of quadratic functions. (MDH)

The New Teachers Mathematics Staff Development Program for grades 9 through 12 is a combination of content and methodology. Teachers focus their attention on content, lesson planning, questioning, homework, and testing. This volume contains materials for eight workshop sessions. Sessions included are: (1) An Introduction to the New York City…

This manual describes the Mathematics Assessment Questionnaire (MAQ) and its development, provides relevant background from the research literature, describes approaches to the reporting and uses of the MAQ (including its use in instructional planning), and presents sample responses from students and classes. The MAQ provides teachers and students…

The New Teachers Mathematics Staff Development Program for grades 7 through 9 is a combination of content and methodology. Teachers focus their attention on content, lesson planning, questioning, homework, and testing. This volume contains materials for eight workshop sessions. Sessions included are: (1) An Introduction to the New York City School…