Procedural generation of problems for elementary math education

A Comparison of Personality Type and Learning Style of Elementary Education Majors, Math Majors, and Math Professors: Cultures in Conflict

Math 322: Problems for Mastery

2.1. Definitions: groups, subgroups, homomorphisms. (1) Which of the following are groups? If yes, prove the group axioms. If not, show that an axiom fails. (a) The “half integers” 12Z = { a 2 | a ∈ Z } ⊂ Q, under addition. (b) The “dyadic integers” Z[ 12 ] = { a 2k | a ∈ Z, k ≥ 0 } ⊂ Q, under addition. (c) The non-zero dyadic integers, under multiplication. (2) [DF1.1.9] Let F = { a+ b √ 2 | a...

Math 322: Problems for Mastery

2.1. Definitions: groups, subgroups, homomorphisms. (1) Which of the following are groups? If yes, prove the group axioms. If not, show that an axiom fails. (a) The “half integers” 12Z = { a 2 | a ∈ Z } ⊂ Q, under addition. (b) The “dyadic integers” Z[ 12 ] = { a 2k | a ∈ Z, k ≥ 0 } ⊂ Q, under addition. (c) The non-zero dyadic integers, under multiplication. (2) [DF1.1.9] Let F = { a+ b √ 2 | a...

Procedural Generation of Roads

In this paper, we propose an automatic method for generating roads based on a weighted anisotropic shortest path algorithm. Given an input scene, we automatically create a path connecting an initial and a final point. The trajectory of the road minimizes a cost function that takes into account the different parameters of the scene including the slope of the terrain, natural obstacles such as ri...

Math-gender stereotypes in elementary school children.

A total of 247 American children between 6 and 10 years of age (126 girls and 121 boys) completed Implicit Association Tests and explicit self-report measures assessing the association of (a) me with male (gender identity), (b) male with math (math-gender stereotype), and (c) me with math (math self-concept). Two findings emerged. First, as early as second grade, the children demonstrated the A...