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This qualitative study investigated 17 preservice teachers’ lesson design for teaching multiplication to an average performing student and a student with mathematical learning disabilities (MLD). Findings reveal how preservice teachers differentiate mathematics instruction to meet the needs of students. They modified mathematical strategies by providing diverse multiplicative concepts and fitting the form of representations. They accommodated lesson design by setting their expectations based on individual needs, managing instructional structure and progress, and adjusting the cognitive demand of tasks. Some formative assessment skills demonstrated how they understood students’ mathematical thinking and responded to it. The needs for further attention and support in lesson differentiation, including content-oriented alternation for equitable responsive teaching and moving away from short-term solutions to sustainable support, were discussed.

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This study adopted portfolio assessment as a means of deepening pre-service teachers’ understanding of teaching and learning. The ultimate goal of using the portfolio was to bring the program in line with the mission of the institute, the criteria of the NCATE and INTASC, and the standards of the Ohio State License. This study discusses the challenge of implementing a year-long portfolio assessment procedure, as well as investigating how the exit portfolio assessment plays a role in facilitating pre-service teachers’ professional growth in terms of knowledge, skills, and dispositions. Results indicate that preservice teachers considered the capstone portfolio as a tool for reflection, which helped them improve critical thinking skills, self-assessment, and advancement. Also, the portfolio process helped teacher candidates develop a professional identity and promote teaching. Overall, there was growth and improvement in knowledge, skills, and dispositions toward teaching, the role of a teacher and learner, and using the web-based portfolio process.

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