NotesFAQContact Us
Collection
Advanced
Search Tips
ERIC Number: ED010039
Record Type: RIE
Publication Date: 1966
Pages: 166
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
ORGANIZATION OF MATHEMATICS IN GRADES 4, 5, AND 6.
BLAKE, KATHRYN A.; AND OTHERS
VERTICAL AND HORIZONTAL SEQUENCES FOR ORGANIZING MATHEMATICS CONTENT IN ELEMENTARY GRADES FOUR, FIVE, AND SIX WERE IDENTIFIED USING AN EMPIRICAL BASE. VERTICAL SEQUENCES FOR THIS PROJECT PERTAINED TO SUBTOPICS WITHIN SEVERAL MATHEMATICS TOPICS USING THE LEVEL OF SUBTOPIC COMPLEXITY FOR THE CRITERION. THE DEGREE OF RELATIONSHIP BETWEEN ADJACENT TOPICS WAS THE CRITERION FOR HORIZONTAL SEQUENCES WITH BOTH THE ORTHOGONAL AND NON ORTHOGONAL APPROACHES. A TEST DESIGNED TO ASSESS ACHIEVEMENT OF MATHEMATICS INSTRUCTIONAL OBJECTIVES WAS ADMINISTERED TO APPROXIMATELY 760 SUBJECTS, DIVIDED ALMOST EVENLY AMONG THE 3 GRADE LEVELS USED. SIMPLEX AND "SMALLEST SPACE" ANALYSES WERE THE BASIC MEANS USED TO IDENTIFY THE VERITCAL AND HORIZONTAL SEQUENCES, RESPECTIVELY. THE VERTICAL HIERARCHIAL ORDERS AMONG SUBTOPICS WERE SHOWN FROM LEAST TO MOST COMPLEX FOR THE FOLLOWING MAJOR TOPICS--(1) NUMBERS, OPERATIONS, AND ASSUMPTIONS, (2) GEOMETRY (FIFTH AND SIXTH GRADES ONLY), (3) RELATIONS, (4) NUMERATION, (5) MEASUREMENT, AND(6) FRACTIONS (SIXTH GRADE ONLY). THE TOPICS OF GEOMETRY AND OPERATIONS WITH WHOLE NUMBERS WERE SET OFF FROM THE OTHERS AND FROM EACH OTHER IN THE HORIZONTAL SEQUENCES. THE BEST ORTHOGONAL TOPIC SEQUENCE AND NON ORTHOGONAL TOPIC SEQUENCE WERE PROVIDED. THE BASIS FOR HORIZONTAL RELATIONSHIPS IDENTIFIED WAS THE DEGREE OF COMMONALITY REPRESENTED BY PROBLEM-SOLVING ELEMENTS IN EACH TOPIC. (JH)
Publication Type: N/A
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: Clarke County School District, Athens, GA.; Georgia Univ., Athens. Coll. of Education.
Identifiers: ATHENS; GEORGIA; Georgia (Clarke County)