In many ways, mathematics classrooms in Finland and Sweden are very similar to what would be considered traditional classrooms in the United States. Classes begin with checking homework and questions, followed by the teacher giving instruction in the new material, and end with students working on their new assignment. There are also interesting…

This article is based on the author's experiences as a second-year teacher at a small private school teaching all sections of Geometry and Algebra 2. Working with the same students in both courses, the author was aware of each one's levels of retention and execution of Algebra 1 concepts before the beginning of the year. The author often noticed…

Educators in forty-five states and the District of Columbia are hard at work interpreting and implementing the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). This work typically involves teacher participation in professional development activities focused on developing an understanding of the content standards as well as the…

Writing in mathematics can improve procedural knowledge and communication skills and may also help students better understand and then remember problems. The majority of mathematics teachers know that they ought to include some writing assignments in their instructional plans, but the challenge of covering the curriculum and the time required to…

For thousands of years before the invention of reliable clocks, humans measured their days by the motion of the sun. Astronomically, one day was the length of time it took for the sun to return to the same position in the sky. With the advent of precise mechanical chronometers such as Harrison's timekeepers (Sobel and Andrewes 1998), which ran at…

Online discussion boards provide settings for conversations that give teachers information about students' mathematical thinking. This article describes how the analysis of discussion board conversations can be useful for charting the path instruction should take. The analysis of online discourse is illustrated within the context of a course for…

Examines the consequences of assigning student grades using test-score averaging on course materials, tests, and learning. Proposes an alternative method of grading based on progressive improvement by the student that emphasizes the learning of concepts. (MDH)

Discusses the teachers' roles and responsibilities in classroom mathematics assessment in the context of the "Standards for Teacher Competence in Educational Assessment of Students." Considers the issues of choosing and developing appropriate assessment methods, obtaining and using assessment results, and communicating assessment…

Describes one teacher's implementation of subjective grading to assess student's achievement on mathematics tests. Reports student and parent reactions to the method. Shares five practices that developed with the experiences, and provides an example of the grading policy utilized. (MDH)

Presents a technique used during the first five minutes of class that elicits from students written responses to questions of their understanding of mathematical content or their attitudes toward their mathematics class specifically, or mathematics in general. Provides sample questions from algebra, geometry, and general mathematics. (MDH)

Two methods to facilitate classroom management and initiate student responsibilities are presented. The first describes student responsibilities for making up missed tests or assignments. The second describes a student scorecard to help students keep track of their grades and act as a motivational technique. (MDH)

Presents two ideas to help beginning mathematics teachers. The first presents a way to record and grade homework. The second suggests a manipulative to help students understand the trigonometric concept of reference angle. (MDH)

Proposes offering college students an optional performance contract that requires full class participation and resubmission of incorrect test items to alleviate mathematics anxiety. A comparison of students opting or not opting for the contract indicated that contracted students outperformed their counterparts in the latter stages of the course.…

Describes alternative form of evaluation that enables the teacher to assign a grade to students problem-solving skills as they participate in a discussion to solve a problem. Discusses room arrangement, the role of the audience, grading, and secondary benefits of the method. (MDH)

Presents and discusses three instruments to evaluate: (1) student self-assessment; (2) assessment of cooperative learning tasks; and (3) student assessment of their teacher's effectiveness. Examples of the instruments are provided. (MDH)