Boggle brains with this fully resourced philosophy lesson explores the fundamental nature, assumptions, foundations, and implications of mathematics! This multi-use interactive philosophy lesson explores ‘Philosophy of Mathematics’: the branch of philosophy that studies the nature of mathematical truth, mathematical proof, mathematical evidence, mathematical practice, and mathematical explanation. This fully resourced philosophy lesson is ideal for teachers who want to explore philosophy of mathematics with students aged 8-16*; we’ve carefully selected the most significant issues and questions relating to philosophy of science so that young learners can engage in fun philosophical discussions and debates. This session explores topics such as: The nature of mathematics The unique nature of mathematical knowledge Theories of mathematics such as logicism, intuitionism and formalism The link between mathematics and the natural world The idea that mathematics can be beautiful The big question asked in this session is “Are mathematical laws invented or discovered?”. Using a variety of engaging activities students will discuss and debate a wide range of other philosophical questions such as What is a number? What is the purpose of mathematics? To what extent is nature itself governed by mathematical principles, rules and laws? Does a mathematical law refer to physical reality or is it only a mental construct with no bearing on reality? What is the relationship between scientific knowledge and mathematics? Students will also analyse and evaluate an eclectic mix of philosophical claims such as: “Mathematical knowledge is something we discover entirely through studying the physical world” “Numbers never lie” “Mathematics is the best way to objectively understand the world” “Living a good life depends on an understanding of mathematics” and “Mathematics is best understood as being like a game” This session uses our unique format for philosophy teaching resources and features an integrated menu that allows teachers to select from a variety of starter, main, plenary, assessment and end-of-lesson reflection activities. With a massive selection of activities designed to trigger philosophical discussions, debates and reflections: you can re-use the resource numerous times with the same group. This resource is especially suitable for teachers of mathematics who are looking to explore the fundamental nature, assumptions, foundations, and implications of mathematics more deeply with students and bring philosophy, philosophical thinking and critical thinking into their maths lessons.

The download includes: A fully-resourced ‘Metacognition & Maths’ lesson (1 Hour) Front of book metacognitive planning & monitoring worksheets (x3) Back of book metacognitive evaluation & regulation worksheets (x3) Exercise book enhancers: “Help I’m Stuck!” metacognition guides (x2) Exercise book enhancers: metacognition extension questions & tasks (x2) Task specific metacognition worksheets (x10) Mid-lesson metacognition reflection worksheets (x3) End of lesson metacognition reflection worksheets (x3) Personal Learning Checklist (PLC) Templates (x2) Lesson Wrappers (x5) The Mathematics & Metacognition Debate Generator The Mathematics & Numeracy ‘Think, Pair, Share’ Discussion Generator All resources are for students aged 11-16. The lesson listed above aims to introduce metacognition to mathematics students whilst the other resources support metacognitive teaching practices in the mathematics classroom.

These ten worksheets are designed to accompany any main task or learning activity in lessons. They are suitable for teachers of any subject and as a whole-school resource. Please see the preview images. We’ve based the design around established metacognitive theories that emphasise four stages of metacognition: planning, monitoring, evaluation & regulation. These unique worksheets are our best yet: they help students “think about thinking” with direct reference to the learning activity they are engaged in. The pack contains ten different worksheet designs [see preview images]. When printed and cut: each worksheet is 1/3 of a page (double-sided) and serves as a powerful and time-efficient way to foster metacognition in students when they are completing a learning activity. The worksheets are suitable for teachers and students (11-16) of any subject. Metacognition is a powerful way to boost learning-power: regular use of these worksheets will help students to use metacognitive learning strategies habitually. The colourful double-sided designs look great in exercise books and it makes your work with metacognition & self-regulated learning very clear for others to see. Thank you for looking at our resources! Make sure to download some of our free samples: just visit globalmetacognition.com We offer a range of whole-school metacognition resources that aim to enhance metacognitive skills and strategies in students aged 11-16. You can download individual resources or buy our ‘Whole School Metacognition Toolkits’ that make establishing a whole-school metacognition initiative easy. Our resources specialise in: Boosting Learning-Power Teaching Metacognitive Skills & Strategies Increasing Metacognitive Power (Intelligence, Memory etc.) These resources are made and distributed in partnership with The Global Metacognition Institute. Find more metacognition resources at globalmetacognition.com Join our Facebook Metacognition Working Group for Teachers & Leaders! https://www.facebook.com/groups/EducationalMetacognition/ Copyright Adam Godwin (2019)