**ERIC Number:**ED061105

**Record Type:**RIE

**Publication Date:**1972-Apr-4

**Pages:**32

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Some Factors Associated with Children's Solving Performance on Four Types of Mathematical Open Sentences.

Grouws, Douglas A.

This study investigated three factors associated with third grade children's ability to solve open sentences of the types N + a = b, a + N = b, a - N = b, and N - a = b, where a and b are given whole numbers and N is to be found. Two factors were: (1) the size of the numbers a and b; and (2) the context of the sentence, whether presented alone or as a step in the solution of a verbal problem. A 16-item test was constructed by completely crossing sentence type with these two factors, and administered to a random sample of 16 boys and 16 girls drawn from three representative elementary schools. A latin square procedure was used to control any item sequence effects, and every child received the same 16 items in a different order. Response scores, analyzed by MANOVA, showed that: (1) there was no significant sex effect; (2) the sentence type a - N = b was significantly more difficult than the other types, which did not differ significantly; (3) sentences with one-digit numbers were significantly easier than those with two digit numbers; and (4) the verbal problems used in the test were not more difficult than the corresponding abstract number sentences. (MM)

Descriptors: Arithmetic, Elementary School Mathematics, Grade 3, Mathematics Education, Number Concepts, Research

**Publication Type:**N/A

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**N/A

**Authoring Institution:**N/A

**Identifiers:**Equations (Mathematics); Open Sentences

**Note:**Paper presented at the Annual Meeting of the American Educational Research Association, Chicago, Illinois, April 4, 1972