Module Specifications.
Current Academic Year 2024 - 2025
All Module information is indicative, and this portal is an interim interface pending the full upgrade of Coursebuilder and subsequent integration to the new DCU Student Information System (DCU Key).
As such, this is a point in time view of data which will be refreshed periodically. Some fields/data may not yet be available pending the completion of the full Coursebuilder upgrade and integration project. We will post status updates as they become available. Thank you for your patience and understanding.
Date posted: September 2024
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Description This module introduces students to some different general aspects of mathematics, including the nature and use of logic in mathematics, mathematical language, mathematical modelling and problem solving in mathematics. | |||||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. Apply logic in mathematical arguments 2. Demonstrate an appreciation of the importance and nature of proof in mathematics 3. Demonstrate insights on different views of the nature of mathematics 4. Develop proficiencies in problem solving and in the teaching of problem solving 5. Learn how to use mathematical language correctly 6. Develop an awareness of the concepts of growth and fixed mindsets and how these impact the learning of mathematics | |||||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and Learning Activities
Mathematics: history & philosophy Introduction to philosophies of mathematics and their historical development, with a focus on the emergence of axiomatic approaches and mathematics as a problem solving activity Mathematical logic, language and mathematical proof. The role of definitions in mathematics; mathematical statements; the need for mathematical proof; mathematical logic; different types of proof: induction, working forwards-backwards, proof by contradiction, proof by contrapositive argument; nomenclature: conjectures, lemmas, propositions, theorems, corollaries etc; the philosophy of mathematical proof; the creation of new mathematics. Mathematical problem solving. Structured approaches to problem solving in mathematics: Mason's Rubric Writing. Approaches to teaching problem-solving in mathematics. Designing mathematical problems. Mathematical Mindsets Fixed and growth mindsets in mathematics. | |||||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources 43866, Website, 0, St Andrew's History of Mathematics Website, http://www-groups.dcs.st-andrews.ac.uk/~history/, 43867, Website, Pearson Education Online, 0, MyMathLab, http://global.mymathlabglobal.com/, | |||||||||||||||||||||||||||||||||||||||||||