The Relationship Between the Approximate Number System and Formal Mathematics

CSEF · 2010 Cognitive Science (Junior Division Only)

Overview

Objectives/Goals The objective of this experiment was to find if there is a relationship between the approximate number system (the ability to tell more from less without counting) and formal mathematics skills. Methods/Materials The participants were 80 8th graders. Each subject completed an arithmetic test, a geometry test, and the computerized dots test (a measure of the approximate number system). Half the subjects received the mathematics tests first and half received the dots test first. Results There was not a significant correlation between performance on the dots test and the arithmetic test or between the dots test and the geometry test. Performance on the dots test was not different between student who were in an Algebra class or the more advanced Geometry class. Students in a Geometry class performed significantly better on the arithmetic and geometry tests than the students enrolled in an Algebra class. Conclusions/Discussion Contrary to the hypothesis there was not a significant correlation between the results from the dots test and the two mathematics tests in the 8th grade students. This experiment still leaves open the question if helping young students with approximate number skills will have an impact on their ability to do better in math classes.

Summary statement

The experiment tested to see if there is a relation between the approximate number system and formal mathematics.

Help received

Dr. Halberda at Johns Hopkins provided the computer task and offered suggestions about how to analyze the data; my advisor, Mrs. Gillum, provided her computer lab and assistance with testing the subjects at school; my mother helped create the arithmetic and geometry tests.

Competition history

  • CSEF 2010 Cognitive Science (Junior Division Only) · Entry J0611

Resources

Related projects

Closest projects by meaning, across every fair and year in the corpus.

Browse more like this

Source: California Science & Engineering Fair public projects

Save projects to your library

Sign in with Google to keep track of projects you find interesting, organized into folders. An account also raises your daily allowance for “Has this been done?”, and lets you create a key for the MCP server with a much higher limit than anonymous use. Browsing stays public.

Continue with Google