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Earlier institution-sponsored research revealed that about 20% of students in community college basic math and pre-algebra programs lacked a sense of part-whole relationships with whole numbers. Using the same tool with a group of 86 workforce students, about 75% placed five whole numbers on an empty number line in a way that indicated lack of part-whole thinking. This concept, needed to understand fraction and percent relationships, carries over as a grasp of the relationship between details and the main idea in factual prose, in critical thinking in job situations, and on the current high school equivalency tests.

Community college developmental math students (N = 657) from three math levels were asked to place five whole numbers on a line that had only endpoints 0 and 20 marked. How the students placed the numbers revealed the same three stages of behavior that Steffe and Cobb (1988) documented in determining young children's number sense. 23% of the students showed a lack of the concept of part-whole coexistence in this task. In two of three levels, lack of the concept was found to be significantly related to success (final grade of A, B, or C) in developmental math.

Interviews with 12 adults in General Educational Development classes, four adults in basic math, and 22 preservice teachers assessed their understanding of the part-whole concept, a key element in math success. Gaps in understanding were found in all three groups. (SK)