Student Assessment in Calculus

Student Assessment in Calculus examines methods for evaluating student understanding and learning in calculus courses at the university level. The book focuses on tools, techniques, and frameworks for assessment that aim to capture deeper mathematical comprehension rather than just procedural knowledge. Professor Schoenfeld draws from research in mathematics education and cognitive science to present evidence-based approaches for measuring student learning. The text includes examples of assessment tasks, rubrics, and student work samples from real calculus classrooms. Multiple assessment strategies are covered, from traditional exams to performance-based evaluation and portfolio assessment. The book addresses practical implementation challenges and provides guidance for instructors to develop their own assessment materials. The work contributes to broader discussions about pedagogy reform in higher mathematics education and how to align assessment with learning goals. Through its systematic treatment of assessment design, the book raises questions about what constitutes mathematical understanding and how it can be measured effectively.

There are not enough internet reviews to create a summary of this book. Instead, here is a summary of reviews of Alan Schoenfeld's overall work: Readers consistently mention Schoenfeld's clear explanations of complex mathematical thinking processes. Mathematics educators and teachers cite his practical frameworks for analyzing student problem-solving. What readers liked: - Detailed examples and case studies that demonstrate cognitive strategies - Accessible writing style for both researchers and practitioners - Concrete methods for improving mathematics instruction - Research-based approaches backed by classroom evidence What readers disliked: - Dense academic language in some sections - Limited coverage of elementary-level mathematics - High cost of textbooks - Some repetition between publications Ratings across platforms: Mathematical Problem Solving (1985) - Goodreads: 4.1/5 (42 ratings) - Amazon: 4.3/5 (28 ratings) Learning to Think Mathematically (1992) - Goodreads: 4.4/5 (31 ratings) - Amazon: 4.5/5 (19 ratings) Most reviewers are mathematics educators and researchers rather than general readers. Several teachers note successfully applying his methods in their classrooms.

Teaching and Learning Mathematical Problem Solving by Richard E. Mayer This research-based text explores cognitive processes in mathematics education and presents methods for assessing student understanding in calculus.

Assessment Practices in Undergraduate Mathematics by Bonnie Gold, Sandra Z. Keith, and William A. Marion The book presents case studies and frameworks for evaluating mathematical knowledge in undergraduate courses with focus on authentic assessment methods.

How to Grade for Learning in Mathematics by Ken O'Connor This resource connects assessment theory to mathematics instruction through practical grading systems and evaluation techniques for calculus and higher mathematics courses.

Mathematical Thinking and Problem Solving by Alan Schoenfeld The text examines the cognitive processes involved in mathematical reasoning and provides strategies for developing and assessing these skills in students.

Knowing What Students Know: The Science and Design of Educational Assessment by James W. Pellegrino, Naomi Chudowsky, and Robert Glaser This comprehensive work explains the principles of effective assessment design with applications to mathematics and science education.

🔢 Alan Schoenfeld is considered one of the pioneers in mathematics education research, focusing on how students think about and learn mathematics rather than just computational skills. 📚 The book explores innovative ways to assess student understanding in calculus beyond traditional testing, including analyzing student problem-solving processes and mathematical reasoning. 🎓 This work was part of a larger movement in the 1990s to reform calculus education in response to high failure rates and superficial learning in traditional calculus courses. 💡 Schoenfeld's research showed that students who excel at computational calculus problems often lack deeper conceptual understanding of the underlying mathematical principles. 🧮 The assessment methods described in the book influenced the development of AP Calculus exams, which began incorporating more explanation-based questions and real-world applications.