ERIC Number: EJ1231249
Record Type: Journal
Publication Date: 2018
Pages: 4
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-1326-0286
EISSN: N/A
Available Date: N/A
Connecting New Knowledge to Old: Uncovering Hidden Premises in Mathematical Explanation
Klosterman, Peter
Australian Primary Mathematics Classroom, v23 n2 p23-26 2018
Despite the numerous benefits that stem from a coherent mathematical understanding, it is uncommon for teachers to encourage students to form a developed web of mathematical connections (Mousley, 1999). Additionally, when students explain their thinking, they frequently do not state how their reasoning connects to prior knowledge. This obscures important mathematical connections between new knowledge and prior knowledge, making it more likely that the class will view new mathematical knowledge as isolated pieces of information. When students lack mathematical coherence, they are more likely to forget new information and be unsuccessful in transferring their knowledge to new situations (Fennema & Romberg, 1999). In this article, the author presents a framework to help teachers prompt their students to explicitly connect new ideas back to prior knowledge. Making these sorts of explicit connections as a regular practice will help students to achieve the understanding proficiency in the "Australian Curriculum: Mathematics" of "mak[ing] connections between related concepts and progressively apply[ing] the familiar to develop new ideas" (Australian Curriculum, Assessment and Reporting Authority [ACARA], 2017, p.5).
Descriptors: Mathematics Instruction, Mathematics Skills, Prior Learning, Foreign Countries, Knowledge Level, Thinking Skills, Teacher Student Relationship, Multiplication, Grade 5, Elementary School Mathematics, Elementary School Students, Elementary School Teachers
Australian Association of Mathematics Teachers (AAMT). Tel: +61-8-8363-0288; e-mail: office@aamt.edu.au; Web site: https://primarystandards.aamt.edu.au/Journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Elementary Education; Grade 5; Intermediate Grades; Middle Schools
Audience: Teachers
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Identifiers - Location: Australia; United States
Grant or Contract Numbers: 1050397
Author Affiliations: N/A