Children'S Mathematics 4-15: Learning From Errors And Misconceptions: Learning from Errors and Misconceptions
Children s Mathematics 4-15 is a groundbreaking book, which transforms research on diagnostic errors into knowledge for teaching, teacher education and research on teaching. It is essential reading for teachers, students on undergraduate teacher training courses and graduate and PGCE mathematics teacher trainees, as well as teacher educators and researchers.
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Chapter 1 Introduction
Chapter 2 Learning from errors and misconceptions
Chapter 3 Childrens mathematical discussions
Chapter 4 Developing number
Chapter 5 Shape space and measurement
Chapter 6 From number to algebra
Chapter 7 Datahandling graphicacy probability and statistics
Chapter 8 Preservice teachers mathematics subject matter knowledge
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activity Activity Theory algebra answer Appendix argue argument arithmetic assessment assessment for learning CALC calculator cent Chapter child classroom cognitive common error communication concept conﬂict context counting cultural curriculum decimal numbers deﬁnition Description MaLT reference Descriptor Description MaLT Diagnosis of error dialogue difﬁculty digit discussion double Error Diagnosis error Item Descriptor errors and misconceptions everyday example Figure ﬁnd ﬁnding ﬁrst graph graphicacy ical identiﬁed integers interpret intuitive involves Item Descriptor Description Item MaLT reference Iterative patterning learners learning logits MaLT reference Facility mathematics education measurement metacognition multiplication number line number sentence objects pedagogy pictogram Place value misconception pre-service teachers problem prototype question ratio Recognize rectangle reference Scale score reﬂection Selects semiotic shape and space signiﬁcant smaller from larger social solve spatial speciﬁc square strategies structure subtraction suggest teaching Two-step task complexity understanding unit fraction whole number Williams Write