Combinatorics

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tandfonline.com – Enhancing young children’s understanding of a combinatorial task by using a duo of digital and physical artefacts

Posted on by Troels Gannerup Christensen - Læst 5 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT In mathematics education, digital tools have been used to enhance young children’s understanding of specific subject matter. In such implementations, the digital tool can replace, amplify or transform ‘ordinary’ mathematics teaching. In an initial study, systematization and duplication were identified as critical when young children were to solve a combinatorial task. Therefore, a digital version of the task was developed and combined with a non-digital version, to introduce the use of dual artefacts. The digital version of the task enabled the children to visually explore systematization as well as the principle of completion. After using this digital version of the task, the children’s written records became more systematic and included fewer duplications. We conclude that the digital version… Continue Reading →

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Eric.ed.gov – Math Academy: Let’s Go to the Mall! Explorations in Combinatorics. Book 5: Supplemental Math Materials for Grades 3-8

Posted on by Troels Gannerup Christensen - Læst 22 gange

eric.ed.gov har udgivet: Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the “Math Academy–Let’s Go to the Mall! Explorations in Combinatorics,” which teachers can use to enhance their math instruction while staying true to the academic rigor required by the state standards framework. Included in this booklet are activities the author used for the combinations and permutations Math Academy. This Math Academy is designed to help students understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations. Teachers may choose to implement a grade-level or school-wide Math Academy, or they may prefer to implement these activities… Continue Reading →