This is the second of two subject pedagogics modules in mathematics and is devoted to applying the student teacher's general pedagogical knowledge to the mathematics classroom while simultaneously developing mathematics-specific pedagogical knowledge. In this module there will be a very strong emphasis on teaching mathematics for understanding; incorporating a variety of assessment modes into the mathematics classroom; catering for mixed ability in the mathematics classroom and problem solving and modelling in mathematics - all core ideas underpinning the Project Maths curriculum currently being taught in Irish second level schools. The module integrates (a) subject knowledge in mathematics, and (b) subject pedagogical knowledge in mathematics and (c) knowledge of the mathematics curriculum and learners. These inter-related domains of knowledge are critical in order to prepare the student teachers for their second school based teaching experience and for their future careers as mathematics teachers.

LECTURE TOPICS: During this module there will be a number of student presentations focusing on key issues in mathematics education. Prior to these lectures being delivered students will be required to independently investigate some of these key issues and submit a "research guide for teachers" which provides some background information on the topic from the literature and key take away messages for teachers. The key take away messages designed by students will be shared as well as relevant findings included in the article will be shared with the wider class during the lecture by both lecturer and students. The lecture series in this module will predominantly focus on issues facing mathematics education in Ireland and internationally.  SEMINARS: The following seminars will run over the course of the twelve week and will provide students with practical advice in relation to teaching mathematics and give them the opportunity to explore different methodologies, resources, approaches to assessment etc. The workshops will be designed around the five strands of the Project Maths curriculum. 1. Teaching Statistics at Second Level 2. Teaching Probability at Second Level 3. Teaching Functions and Calculus at Second Level 4. Teaching Algebra and Number at Second Level 5. Teaching Geometry at Second Level WORKSHOPS: As part of the lecture series students will be introduced to the idea of teaching mathematics for understanding and models for teaching mathematics for understanding. In these workshops students will have the opportunity to develop their own understanding of key mathematical concepts and look at ways that they could use the aforementioned models to develop students conceptual understanding of these key mathematical concepts. In total there will be six workshops during which students will work in groups to explore a range of different mathematical concepts. The workshops will focus on the Project Maths strands, as shown below. 1. Teaching Fractions for Understanding 2. Teaching Statistics and Probability for Understanding 3. Teaching Functions and Calculus for Understanding 4. Teaching Number for Understanding 5. Teaching Algebra for Understanding 6. Teaching Geometry and Trigonometry for Understanding

On successful completion of this module, students will be able to: (a) Identify the teacher knowledges and the models of understanding necessary for effective mathematics teaching (b) Plan units of learning and lesson plans for mixed ability Junior and Senior Cycle mathematics class groups for all strands of Project maths, incorporating appropriate teaching and learning methodologies such as active learning, assessment for learning & problem solving, where appropriate.   (c) Use ICT to enhance secondary mathematics teaching. (d) Identify the role mathematics can play in enhancing students' literacy and numeracy levels in line with the Department of Education and Skills national strategy. (e) Demonstrate a thorough understanding of the second level Project Maths curriculum, the Junior Cycle Framework and Classroom Based Assessment. (f) Demonstrate conceptual understanding of mathematical concepts which they will be required to teach.

On successful completion of this module, students will be able to: (a) Recognise the value of mathematics education research as a vehicle for improving classroom practice. (b) Appreciate the wide range of resources currently available to pre-service and in-service mathematics teachers and use these as models to develop their own innovative resources. (c) Appreciate the importance of developing a conceptual understanding of mathematics. (e) Work together to develop their own mathematical knowledge and conceptual understanding.

On successful completion of this module, students will be able to: (a) Utilise IT to support their teaching of mathematics. (b) Construct resources appropriate for use in the second level mathematics classroom.

The module will be made up of lectures, workshops and seminars. The lectures will be delivered by the module leader and other academics with expertise in specific areas of mathematics education and will be underpinned by student's research into the different topics. These lectures will serve to communicate key ideas and theory to the students. The workshops will focus on the five strands of Project Maths and will involve active learning and group work. The workshops will be facilitated by the lead lecturer. They will seek to link students' content and pedagogical knowledge. The seminars will be used to deepen students' conceptual knowledge of mathematics through mathematical thinking classes and will again be facilitated by the module leader.