Prior knowledge about natural numbers supports students dealing with algebraic properties of rational numbers¶

Claim · All claims
Evidence · 1 study · associational r? · q2
Currency · newest study 2004 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? Prior knowledge about natural numbers supports students when dealing with the algebraic properties of rational numbers. → Xenia Vamvakoussi 2004

Evidence¶

Xenia Vamvakoussi 2004¶

Xenia Vamvakoussi, Stella Vosniadou. (2004). Understanding the structure of the set of rational numbers: a conceptual change approach. Learning and Instruction. https://telearn.hal.science/hal-00190233

q2 · i? · associational · r?

The article's abstract reports this finding from the empirical study of ninth graders' understanding of algebraic and structural properties of rational numbers, investigated "from a conceptual change perspective". No effect size is printed.

"We show that prior knowledge about natural numbers supports students dealing with algebraic properties of rational numbers"

Discussion¶

Learner Variables¶

• Algebraic Thinking — predictor: learners who differ on it differ in outcomes

Related Claims¶

• Learning is effective when it builds on children's existing knowledge in real-world contexts, and early fraction foundations matter because many older children struggle with rational numbers — a broader claim this one bears on
• Understanding rational numbers is not indiscriminately difficult for students — related
• The idea of discreteness is a fundamental presupposition that constrains students' understanding of the density of rational numbers — related