Instruction and Construction: Integrating Both Processes to Promote Quality Early Mathematics Education -- A Dance of instruction with construction in mathematics education.- The Roots of Mathematising in Young Children.- The first Discernment into the NMT-Family.- Developing Critical Thinking Skill in Mathematics Education.- Identifying quantities of representations - Children using structures to compose collections from parts or decompose collections into parts.- What kind of challenges do teacher students encounter with respect to kindergarten mathematics? -- A pilot Study of Exam Papers.- Reconstruction of folk pedagogy in interaction processes.- Children's engagement with mathematics in kindergarten mediated by the use of digital tools.- Professionalization of Early Childhood Educators with a Focus on Natural Learning Situations and Individual Development of Mathematical Competencies.- Reconstruction of conjunctive realms of experiences in early learning processes -- The Interplay Between Gesture and Speech - Second Graders Solve Mathematical Problems.- Nice text by problem posing - two samples with many challenges.- The Relationship between cultural Expectation and the local Realization of a Mathematics learning Environment -- Early maths with multi-touch - an activity-theoretic approach -- How one preschool teacher recognises mathematical teaching moments -- Development of Geometric Competencies - Children's Conception of Geometric Shapes in England and Germany.- The elements of mathematical creativity and the function of the attachment style in early childhood -- Early enhancement of kindergarten children potentially at risk in learning school mathematics.- It is quite confusing isn't it? -- Preschool children's performance and self-efficacy on mathematical and non-mathematical tasks -- Preschool teachers' knowledge and self-efficacy regarding counting and enumerating tasks -- Conceptualizing preschool teachers' knowledge and self-efficacy for teaching mathematics: The CAMTE framework -- Mathematical Situations Of Play And Explorations As An Empirical Research Instrument -- Play-based mathematics in kindergarten.