A second grade student's knowledge of mathematical place value was investigated. The overall goal of the work was to improve the student's understanding of place-value concepts for numbers 1 to 999. The information gained from the pre-test was used to develop an individualized education plan. Anodal records were kept on the student's advancement and to monitor the progress. A posttest was given at the conclusion.
An eighth-grade student, was able to memorize multiplication facts (0 to 10) for the zeroes to fives with 100% accuracy. In a previous study [1] the student used skip counting and her hands to recall all the facts for the ones to fives. The overall goal of the current study was to improve the student’s automaticity of multiplication facts (0-10) for the ones through fives, such as 4 x 6 = 24. The student had been taught multiplication concepts in her elementary years and she did have a basic understanding of the meaning of multiplication facts as shown in the previous study. She understood that 4 x 6 is a representation of four sets of six or 6 + 6 + 6 + 6 = 24. The student had used skip counting and flash cards with illustrations of the multiplication facts to memorize the multiplication facts. In the current study a multiple baseline design was used to measure the acquisition of fluency of multiplication facts over time. The student was able to develop automaticity with 80% accuracy by giving the solution within 3 seconds for all of the facts (0-10) for the ones through fives.
A sixth grade student's ability to memorize multiplication facts was investigated. The overall goal of the work was to improve the student's understanding and knowledge of basic multiplication facts (0-10) for the zeroes, to fives. There were 66 facts, for example 4 x 6 = 24. The student had been taught multiplication concepts in her elementary years and she did have a basic understand of the meaning of multiplication facts as shown on a pretest. She understood that 4 x 6 is a representation of four sets of six or 6 + 6 + 6 + 6 = 24. The student's previous knowledge and history were used to develop an individualized education plan to help her have a better understanding of the concept and to memorize basic multiplication facts. The interventions were concrete, semi-concrete, and abstract models of instruction. A pretest was given prior to the sessions and a posttest was given after the sessions. The number of sessions was determined based on the student's ability to learn the concepts. The student was successful at memorizing multiplication facts for the zeroes through fives. The next study will be to help the student achieve automaticity of the multiplication facts. AbstractA sixth grade student's ability to memorize multiplication facts was investigated. The overall goal of the work was to improve the student's understanding and knowledge of basic multiplication facts (0-10) for the zeroes, to fives. There were 66 facts, for example 4 x 6 = 24. The student had been taught multiplication concepts in her elementary years and she did have a basic understand of the meaning of multiplication facts as shown on a pretest. She understood that 4 x 6 is a representation of four sets of six or 6 + 6 + 6 + 6 = 24. The student's previous knowledge and history were used to develop an individualized education plan to help her have a better understanding of the concept and to memorize basic multiplication facts. The interventions were concrete, semi-concrete, and abstract models of instruction. A pretest was given prior to the sessions and a posttest was given after the sessions. The number of sessions was determined based on the student's ability to learn the concepts. The student was successful at memorizing multiplication facts for the zeroes through fives. The next study will be to help the student achieve automaticity of the multiplication facts.
In previous studies, the student used skip counting and her hands to recall [1] all the multiplication facts for the ones to fives and also gained automaticity [2] for the ones to fives facts. In the current study the ninth-grade student was able to memorize the multiplication facts (0 to 10) for the sixes to nines and gained automaticity with 80% accuracy. The overall goal of the current study was to improve the student’s automaticity of multiplication facts (0-10) for the sixes through nines, such as 6 x 7 = 42. The student had been taught multiplication concepts in her elementary years and she has a basic understanding of the meaning of multiplication facts as shown in the previous studies. She understood that 6 x 7 is a representation of six sets of seven or 7 + 7 + 7 + 7 + 7 + 7 = 42. The student had previously used skip counting and flash cards with illustrations of the multiplication facts to memorize the facts. In the current study a multiple baseline design was used to measure the acquisition of fluency of multiplication facts over time. The student was able to develop automaticity with 80% accuracy by giving the solution within 3 seconds for all of the facts (0-10) for the sixes through nines.
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