Pathways Curricula

Pathways is a research-based and research-proven mathematics curriculum and professional development project. Our goal is to support instructors in facilitating engaging, coherent, student-centered lessons that promote deep learning of critical mathematical ideas.

Female engineer solving equations on whiteboard with focus and precision.

Research-Based, Research-Proven Solutions

Pathways resources are based on decades of mathematics education research, including understanding (i) what ideas and meanings most critical for students’ success in calculus and STEM fields, (ii) how students learn mathematics, both in general and relative to specific mathematical ideas, (iii) how to create educative curriculum materials that support instructors’ ongoing learning alongside students’ learning, (iv) the conditions that influence teachers’ beliefs, practices, and mathematical meanings, and (v) how to design and implement professional development to support positive shifts in teachers’ beliefs, practices, and mathematical meanings. The result is a coherent, effective approach to teaching and learning mathematics.

Pathways curricula for in-person courses consist of a consumable student workbook with daily lesson investigations and homework tasks, online support in the form of lessons, repeatable practice, and videos, instructor supports including detailed instructor notes and solutions, dynamic applets to support high-quality classroom discussions, PowerPoints linked to each workbook investigation, and assessment item banks.

Since 2006, Pathways resources have undergone continual updating and refinement based on student performance data, instructor feedback, and the results of ongoing research on the meanings students and teachers construct while using the materials.

Pathways In-Person Curricula

We offer an array of curriculum options for both college/university courses and high school courses. All of our curricula are research-based and designed to support students in developing deep understandings of important mathematical ideas as well as nurturing teachers’ ongoing learning with professional development training and instructional support tools.

College Courses Workbook Cover

College/University Courses

Learn more about Pathways curriculum options for in-person college and university courses.

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High School Courses Workbook Cover

High School Courses

Learn more about Pathways curriculum options for in-person high school courses.

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Customized Printings

Learn more about options to create customized resources for your specific needs.

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Pathways In-Person Course Resources

Sample of a student workbook

Student Workbooks

Each Pathways in-person course includes a consumable hybrid textbook and student workbook with daily lesson investigations and homework. The lesson investigations contain engaging contexts and cognitively scaffolded questions supporting a student-centered approach to learning. This scaffolding supports multiple entry points into lesson tasks, promotes students in gaining confidence, facilitates productive mathematical reasoning habits, and encourages each student to make their understandings public, allowing instructors to collect evidence about students’ emerging meanings and respond appropriately. Pathways materials emphasize coherence across lessons and units and have a proven track record of success.

Sample of online resources

Online Supplementary Resources

Each workbook investigation includes accompanying online resources that can be used as supplemental practice, make-up work for students who miss class, enrichment activities, or to facilitate flipped-classroom models. The online resources include cognitively scaffolded interactive lessons that encourage students to take an active role in constructing mathematical meanings, interactive applets that help students visualize and make sense of mathematical relationships, supplemental homework and repeatable practice, as well as quizzes and assessments to provide instant feedback on students’ progress..

Sample of instructor support materials

Instructor Supports

Every Pathways course includes a variety of resources to help instructors facilitate meaningful, engaging lessons. In addition to solutions for every lesson investigation and homework set, we have detailed notes describing our mathematical learning goals for students, common ways of thinking students will exhibit, potential stumbling blocks, advice for lesson implementation, and more. We also provide dynamic applets with associated questions and activities to help students visualize mathematical relationships and to drive productive classroom exploration and discussion.

Instructors collaborating

Professional Development

We fully support all teachers and instructors using Pathways curriculum materials with expert, focused professional development training included with every adoption. This professional development training is led by members of the Pathways development team and focuses on making sense of the curriculum’s research-informed mathematical learning goals, understanding how to implement the lesson investigations for maximum effectiveness, and learning how to navigate instructor supports. We also support long-term departmental growth by partnering with course coordinators to facilitate ongoing training and instructor development for as long as a site uses Pathways resources.

User Testimonials

“Before this class I thought math was just about memorizing rules. This is the first time I’ve been able to understand the word problems. This class is making me a better thinker in all my classes.” – Pathways Student
“I really liked the investigations we did during class. The questions kept me learning and engaged. When the teacher lectured I was able to understand. I also got more and more comfortable in explaining my solutions.” – Pathways Student
“Teaching with Pathways I came to the realization that it is not my job in the classroom to teach students to think the way I’m thinking. Rather, it is my job to help students learn how to do mathematics in their own way.” – Pathways Instructor