Education Commons^™

Don’T Count – Count On Visual Perception!, Klaus Rödler Dr.

Transformations

Verbal counting is the first step in the child‘s number building and this is why it seems natural to start arithmetic in school based on this competence. Under a cultural historical view, the development of number does not start with verbal counting but rather with ‚concrete counting‘. Number words and the number word sequence developed after experience with concrete numbers.

This article describes the roots, basics, and first practical steps of a didactics based on perception rather than on verbal counting.

This proposed change allows inclusive lessons that prevent all students from misunderstanding calculation as a quick or clever form …

Overcoming Challenges In Assessing Mathematical Reasoning, Sandra Herbert

Australian Journal of Teacher Education

Despite mathematical reasoning being necessary for in-depth understanding of mathematical concepts, many teacher experience difficulty in assessing it. Data were collected from 34 primary teachers at 4 Victorian government schools at two post- lesson reflective sessions following lessons with a focus on reasoning. These sessions facilitated teachers’ collaborative efforts to assess their students’ reasoning from students’ work samples. The data included transcripts of all the reflective sessions; written work samples; and associated completed rubrics. Analysis of these data enabled identification of seven challenges teachers experienced in assessing reasoning: Limited guidance provided by curriculum documents; Teachers’ knowledge of reasoning; Teacher noticing …