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This book is Open Access under a CC BY 4.0 license. The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.

Education. --- Mathematics --- Teaching. --- Mathematics Education. --- Learning & Instruction. --- Teaching and Teacher Education. --- Study and teaching. --- Didactics --- Instruction --- Pedagogy --- School teaching --- Schoolteaching --- Education --- Instructional systems --- Pedagogical content knowledge --- Training --- Children --- Education, Primitive --- Education of children --- Human resource development --- Schooling --- Students --- Youth --- Civilization --- Learning and scholarship --- Mental discipline --- Schools --- Teaching --- Mathematics. --- Math --- Science --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Learning process --- Comprehension --- Tertiary Mathematics Education --- Mathematics Teaching --- 13th Congress on Mathematical Education --- Mathematics Educators --- Primary Mathematics Education --- ICME-13 --- Theoretical Reflections on Mathematics Education --- Mathematics Learning --- Mathematics Teachers --- Global Mathematics Trends --- Society of Didactics of Mathematics --- Mathematics Education --- Empirical Studies in Mathematics Education --- Secondary Mathematics Education --- Improvement of Mathematics Education