Julie Ryan – författare

The mistakes children make in mathematics are usually not just ‘mistakes’ - they are often intelligent generalizations from previous learning. Following several decades of academic study of such mistakes, the phrase ‘errors and misconceptions’ has recently entered the vocabulary of mathematics teacher education and has become prominent in the curriculum for initial teacher education.

The popular view of children’s errors and misconceptions is that they should be corrected as soon as possible. The authors contest this, perceiving them as potential windows into children’s mathematics. Errors may diagnose significant ways of thinking and stages in learning that highlight important opportunities for new learning.

This book uses extensive, original data from the authors’ own research on children’s performance, errors and misconceptions across the mathematics curriculum. It progressively develops concepts for teachers to use in organizing their understanding and knowledge of children’s mathematics, offers practical guidance for classroom teaching and concludes with theoretical accounts of learning and teaching.

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.

The mistakes children make in mathematics are usually not just ‘mistakes’ - they are often intelligent generalizations from previous learning. Following several decades of academic study of such mistakes, the phrase ‘errors and misconceptions’ has recently entered the vocabulary of mathematics teacher education and has become prominent in the curriculum for initial teacher education.

The popular view of children’s errors and misconceptions is that they should be corrected as soon as possible. The authors contest this, perceiving them as potential windows into children’s mathematics. Errors may diagnose significant ways of thinking and stages in learning that highlight important opportunities for new learning.

This book uses extensive, original data from the authors’ own research on children’s performance, errors and misconceptions across the mathematics curriculum. It progressively develops concepts for teachers to use in organizing their understanding and knowledge of children’s mathematics, offers practical guidance for classroom teaching and concludes with theoretical accounts of learning and teaching.

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.

Reflections of God's Law Books is a direct result of Julie's reading, reflecting, and journaling through the Bible during her daily quiet time with Jesus. It is a chapter-by-chapter review of the first five books of the Bible, and the first in a series of reflection books. It is intentionally designed as a resource to help readers slow down and think about each chapter of the Bible. Reflections of God's Law Books will help you: See how each chapter of the Bible is relevant to your daily life. Internalize what you read in Scripture. Learn and understand the Bible. Grow in your relationship with God. Experience life transformation by the truth of God s Word.

Reflections of God''s New Testament Books is a direct result of Julie''s reading, reflecting, and journaling through the Bible during her daily quiet time with Jesus. The chapter-by-chapter reflections of the New Testament books of the Bible are written in a devotional style which is designed to enhance personal Bible reading. Reflections of God''s New Testament Books is an easy-to-understand resource that will help you:• Internalize what you read in Scripture• Learn and understand the Bible• Grow in your relationship with God• Experience life transformation by the truth of God''s Word

Reflections of God’s History Books is a direct result of Julie’s reading, reflecting, and journaling through the Bible during her daily quiet time with Jesus. The chapter-by-chapter reflections of Joshua through Esther are written in a devotional style which is designed to enhance personal Bible study.Reflections of God’s History Books is an easy-to-understand resource that will help you:• Internalize what you read in Scripture• Learn and understand the Bible• Grow in your relationship with God• Experience life transformation by the truth of God''s Word