Assessment

Determining the most appropriate method of scoring an assessment is based on multiple factors, including the intended use of results, the assessment's purpose, and time constraints. Both the dichotomous and partial credit models have their advantages, yet direct comparisons of assessment outcomes from each method are not typical with constructed response items. The present study compared the impact of both scoring methods on the internal structure and consequential validity of a middle-grades problem-solving assessment called the problem solving measure for grade six (PSM6).

Determining the most appropriate method of scoring an assessment is based on multiple factors, including the intended use of results, the assessment's purpose, and time constraints. Both the dichotomous and partial credit models have their advantages, yet direct comparisons of assessment outcomes from each method are not typical with constructed response items. The present study compared the impact of both scoring methods on the internal structure and consequential validity of a middle-grades problem-solving assessment called the problem solving measure for grade six (PSM6).

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

One challenge facing the fields of mathematics education and special education is how to design instruction on fraction concepts that can meet the needs of diverse learners. An innovation that shows promise is to base instructional design upon well-established trajectories of students’ fraction learning. However, little research has been done to establish the effectiveness of this approach. We report the results of the second of two small studies of an intervention developed using a validated trajectory of students’ fraction concepts.

Formative assessment can facilitate teachers’ abilities to elicit and notice the disciplinary substance of students’ thinking and to respond based on this. Following a design-based process, we developed principled practical knowledge to create resources that might guide experienced teachers in examining their formative assessment practice and provide researchers with tools to study formative assessment enactment.

Teachers face challenges when building the concept of substance with students because tensions of meanings emerge from students’ daily life and canonical ideas developed in classrooms. A powerful tool to address learning, pedagogical, and research challenges is the conceptual profile theory. According to this theory, people employ various ways of conceptualizing the world to signify experiences. Conceptual profiles are models of the heterogeneity of modes of thinking and speaking about a given scientific concept which are used in a variety of contexts. To better understand the heterogeneity of thinking/speaking about substance, the present study aimed to answer: (1) What are the zones that constitute the conceptual profile of substance?; and (2) What ways of thinking and speaking about substance do teachers and students exhibit when engaged in a classroom formative assessment activity?

Teaching chemistry as a practice rather than as a mere collection of facts demands that teachers modify their practices, particularly their approach to formative assessment (FA). In this study, we investigated how teachers’ FA practices changed as a result of their participation in a professional development program designed with a Chemical Thinking perspective.