Training to teach adults mathematics

목차 (Table of Contents)

• CONTENTS
• Introduction = 1
• 1 The learners = 5
• Introduction = 5
• Case studies = 7
• Summary = 17
• Further reading = 17
• 2 Mathematical knowledge = 18
• Introduction = 18
• Counting and measuring = 18
• Calculations in binary = 20
• Zero = 21
• Measuring = 21
• Calculating = 22
• Working with shape = 24
• Working with data = 25
• Problem solving = 28
• Mathematics in shopping = 30
• Mathematics at work = 31
• The purpose of mathematics and numeracy education = 31
• Summary = 32
• Further reading = 32
• 3 Education theories and approaches to teaching mathematics and numeracy = 33
• Introduction = 33
• Categorising the content of subjects = 33
• Behaviourist theories = 34
• Mathematics as objectives = 35
• Cognitivist theories = 35
• Mathematics as process = 36
• Humanist theories = 37
• Mathematics as a personal development = 37
• Constructivist theories = 38
• Approaches to teaching mathematics／numeracy = 39
• Summary = 50
• Further reading = 51
• 4 The teaching and learning cycle = 52
• Introduction = 52
• An example of a teaching and learning cycle = 53
• Initial and diagnostic assessment = 53
• Elements that make up an ILP = 55
• Formative assessment = 56
• Questioning = 57
• Dialogue = 57
• Discussion and group work = 58
• Creating posters = 58
• Peer and self-assessment = 59
• Interim assessments = 60
• Planning = 61
• Feedback and feed-forward = 63
• Evaluation = 63
• Final summative assessments = 64
• Summary = 65
• Further reading = 65
• 5 Teaching practice = 66
• Introduction = 66
• The learning environment = 66
• Classroom management = 68
• Icebreakers and starters = 68
• What type of feedback should you try to obtain from learners and how? = 70
• Different teaching practice formats = 70
• Making full use of teaching practice and working with a mentor = 71
• Beliefs and teaching approaches = 72
• Summary = 73
• Further reading = 73
• 6 Examples of teaching activities = 74
• Introduction = 74
• Starter activities = 74
• Discussion and collaboration activities = 75
• Activities involving IT = 78
• Investigations = 80
• Activities involving language and culture = 81
• Games = 83
• Summary = 89
• Further reading = 89
• 7 Planning for inclusive practice = 90
• Introduction = 90
• Social groups = 90
• Learning difficulties and disabilities = 91
• Physical and mental conditions = 93
• Language and mathematics = 93
• Summary = 95
• Further reading = 96
• 8 Professionalism = 97
• Introduction = 97
• An enthusiasm for mathematics and numeracy = 97
• Good personal mathematics skills = 97
• Reflective skills = 98
• Good communication skills = 99
• An ability to establish rapport and trust with adult mathematics／numeracy learners = 100
• Flexibility and openness to different approaches = 100
• Reflective and responsive to feedback = 101
• Good skills in the use of information and communications technology = 101
• Beyond initial teacher training and being a professional = 103
• Final thoughts = 103
• Further reading = 104
• Websites = 105
• Key texts = 107
• Suggested answers to tasks = 108
• Appendix = 122
• Index = 129