The fifth book, Teaching of Proportional Reasoning, in the professional development series of Teaching to Mastery: Mathematics, provides learning opportunities in both content and pedagogy. Backed by research studies and learning theories, this book includes mathematical and pedagogical tasks to help readers link content to pedagogy. Consistent with the philosophy of authentic professional learning, educators are guided to enhance their learning by observing students they work with.

Mathematics educators will find this book an invaluable resource to help develop in students a comprehensive understanding of proportional reasoning and how it can be applied to ratio and proportion, rate and percentage.

Key features include:

• Introduction to proportional reasoning and basis of comparison to multiplication
• Pedagogical applications of proportional reasoning to ratio, proportion, rate and percentage (concept and meaning of topics)
• Useful activities to promote proportional reasoning
• Student misconceptions presented and discussed
• Non-topic specific problem solving
• Middle School Content
• Consent and Pedagogical tasks
• Classroom connection
• Underlying Theory and Research