Implementing the Assessment Standards: The Process of Assessment Applied to Tessellations

1998 ◽  
Vol 4 (5) ◽  
pp. 276-280
Author(s):  
Janet M. Sharp ◽  
Karen Bush Hoiberg

A comprehensive process design, which facilitates the analysis of all events that have an impact on students’ mathematical experiences, is outlined in the Assessment Standards for School Mathematics (NCTM 1995). This process of assessment is held to six standards: Mathematics, Learning, Equity, Openness, Inference, and Coherence. These Standards represent those ideas that are valued and by which mathematical assessment should be judged.

2019 ◽  
Vol 4 (3) ◽  
pp. 17-19
Author(s):  
Edy Mastoni

Research Highlights The study proposed two focus studies and results indicated there is a conformity between Brain Based Learning (BBL) and students' intrapersonal intelligence toward characteristics of junior high school mathematics learning. Implementation of Brain Based Learning (BBL) and intrapersonal intelligence in junior high school mathematics learning can improve student’s learning outcomes.   Research Objectives This research aims to knowing activities of junior high school mathematics learning and to knowing conformity of characteristics between Brain Based Learning (BBL) and intrapersonal intelligence with junior high school mathematics learning. BBL as a learning strategies and intrapersonal intelligence as an internal factors of students must be the main consideration in learning activities, including in this case mathematics learning. Learning is more directed at construction than instruction, which has implications for the role of teachers and students (Reigeluth and Carr-Chellman, 2009). Learning strategies concept is a various types of plans used by the teacher to achieve goals (Silver et al., 2012). In simple terms, this view states that learning strategies are ways to do something in achieving goals. Learning mathematics is learning about the concepts and structure of mathematics and looking for relationships between the two on the material being studied (Bruner, 2009). In the learning activities, learning materials must be adapted to the abilities and cognitive structures of students. Learning material must be related to the concepts that are already owned so that new ideas can be fully absorbed by students (Ausubel, 2012). Learning activities must be gradual, sequential and always based on past learning experiences.   Methodology This type of research is qualitative descriptive. The approach used is qualitative with descriptive methods and literature studies. Data collection uses documentation studies, observations, and interviews with teachers and students. Data collection was conducted in junior high school of SMP Assahil Lampung Timur in the 2018/2019 academic year. The mathematics teachers and students were included in this study as a respondents. In this study the data analysis used was quantitative descriptive and qualitative descriptive analysis. Quantitative descriptive analysis is used to present and analyze data relating to mathematics learning outcomes over the past three years. Qualitative descriptive analysis is used to interpret and analyze data regarding the learning process of mathematics that has taken place.   Results The study indicate that mathematics teachers have only used expository learning strategies in learning activities. The expository learning strategy is a form of teacher-centered learning approach. Mathematical learning outcomes are not satisfactory. The Mathematics learning is a learning process that involves active students building mathematical knowledge (Cobb, 2013). In mathematics learning there is a process of developing students' creativity to improve their abilities and beliefs in building knowledge and mastering good mathematics subject matter. The Characteristics of Brain Based Learning (BBL) emphasizes students to play an active role in building the concepts learned (Ulger, 2018). The steps in the BBL learning strategy include creating a learning environment that challenges students' thinking skills (regulated immersion), creates a relaxed learning environment, and creates actual and meaningful learning situations for students (active processing). Intrapersonal intelligence is self-knowledge as intelligence that involves self-awareness or self-sensitivity, thought processes, realizing changes that occur in oneself, involving skills of cooperation and communication both verbally and nonverbally (Alder, 2001). The characteristics of intrapersonal intelligence consist of three main aspects that can be used as benchmarks, namely recognizing oneself, knowing one's own desires, and knowing what is necessary for oneself.   Findings The results of data analysis, it was found that the learning activities that had taken place so far only used expository learning strategies. The teacher does not apply learning strategies that are in accordance with the internal factors of students in learning mathematics. The literature review show that there is a match between the characteristics of junior high school mathematics material, the characteristics of BBL learning strategies and the characteristics of intrapersonal intelligence. Therefore, the implementation of BBL learning strategies and intrapersonal intelligence in junior high school mathematics learning is very well done to improve student learning outcomes.   Acknowledgement This study was supported by Universitas Negeri Jakarta and SMP Assahil Lampung Timur, for which thanks to 1) Doctoral Program in Educational Technology, Postgraduate Program at Universitas Negeri Jakarta; 2) SMP Assahil Lampung Timur; 3) Prof. Dr. M. Syarif Sumantri, M.Pd. as the promoter and Prof. Dr. Nurdin Ibrahim, M.Pd. as the co. promoter who has provided guidance to the author.    


1991 ◽  
Vol 39 (1) ◽  
pp. 34-36
Author(s):  
Grayson H. Wheatley

Mathematics is often seen as a subject in which rules are followed and symbols manipulated to achieve “correct” answers. Fortunately, this characterization of mathematics is changing, in large part because of NCTM's initiatives. As we move into the decade of reform in school mathematics, we should explore all options for enhancing mathematics learning. This article considers the role of visual imagery in doing mathematics.


1991 ◽  
Vol 39 (1) ◽  
pp. 7-9
Author(s):  
James V. Bruni

NCTM's development of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) and the recent companion document, Professional Standards for Teaching Mathematics (NCTM 1991), is an extraordinary achievement. At a time when many agree that we urgently need change in mathematics education, these sets of standards project an exciting vision of what mathematics learning can be and how all students can develop “mathematical power.” They establish a broad framework to guide reform efforts and challenge everyone interested in the quality of school mathematics programs to work collaboratively to use them as a basis for change. How will we meet this challenge? The Editorial Panel believes that translating that vision into reality at the elementary school level will be possible only if elementary school teachers are involved in taking leadership roles as agents of change.


1992 ◽  
Vol 39 (6) ◽  
pp. 32-39
Author(s):  
Lisa M. Passarello ◽  
Francis (Skip) Fennell

This month's IDEAS emphasizes connections between science and mathematics by using a performance-, or authentic-, asessment format. The month of February is close to the heart of many students and teachers. The activity sheets and the extensions offer a different approach to the valentine month. Students have the opportunity to explore applications involving their own personal valentine—the heart. The activities involve number sense, problem solving, measurement, and statistics. Additionally, this month's IDEAS involves a variety of important mathematics concepts and ideas in a performance-based setting. The activity sheets are designed to be used in multiple grade levels. The activity sheets can be completed by individual students or groups of students. The at-home-activity sheet is designed to connect school-mathematics learning with the home. Encourage students to complete this activity sheet as a parent-child experiment.


1998 ◽  
Vol 91 (1) ◽  
pp. 76-82
Author(s):  
Enrique Galindo

Consider the midpoints of all the chords that can be drawn from a given point, say, A, on a circle (see fig. 1). Can anything special be found about these midpoints? Using dynamic geometry software, students can trace the locus of these midpoints by dragging the chord AB from point B. That is, they can use the computer mouse to select and hold point 8 as it is moved around the circle. The computer displays a dynamic chord with a fixed endpoint A and traces the path of the midpoints. The small blue dots shown in figure 2 represent the midpoints of the chords generated as point B is dragged around the circle. Figure 2 suggests that these midpoints lie on a circle. Is this observation true? How can we be sure? When presented with this task, a high school student answered, “It forms … it forms a circle! The midpoints … the midpoints when you move it around form a smaUer circle inside the big circle!” When the student was asked to justify his answer, he said, “I can see it before me, and it does form a circle. I have evidence for it.”


1996 ◽  
Vol 89 (1) ◽  
pp. 66-69
Author(s):  
Nancy C. Lavigne ◽  
Susanne P. Lajoie

Mathematics education at all levels of schooling is currently undergoing change. Recommendations for improving the teaching, learning, and assessment of mathematics have been translated into standards that furnish guidelines for implementing change in mathematics classrooms (NCTM 1989, 1991, 1995). These standards emphasize the importance of engaging students in performance activities that require solving complex and realistic mathematics problems, reasoning about content and solutions, communicating understanding, and making connections among mathematical concepts.


1998 ◽  
Vol 91 (6) ◽  
pp. 504-508
Author(s):  
Vena M. Long ◽  
Christine Benson

The Assessment Standards for School Mathematics defines assessment as “the process of gathering evidence about a student's knowledge of, ability to use, and disposition toward mathematics and of making inferences from that evidence for a variety of purposes” (NCTM 1995, 3). Teachers’ responsibilities for assessment traditionally involved judging students’ performance throughout instruction and judging students’ knowledge and competence at crucial points during a term. Teachers gave tests and computed grades. These responsibilities have


1995 ◽  
Vol 88 (8) ◽  
pp. 694-700 ◽  
Author(s):  
Christian R. Hirsch ◽  
Arthur F. Coxford ◽  
James T. Fey ◽  
Harold L. Schoen

Current policy reports addressing mathematics education in American schools, such as Everybody Counts (NRC 1989), Curriculum and Evaluation Standards for School Mathematics (NCTM 1989), Professional Standards for Teaching Mathematics (NCTM 1991), and Assessment Standards for School Mathematics (NCTM 1995), call for sweeping reform in curricular, instructional, and assessment practices. Implementing the proposed reforms poses new opportunities and challenges for school districts, mathematics departments, and classroom teachers.


1997 ◽  
Vol 3 (9) ◽  
pp. 496-498
Author(s):  
Gay S. Pitts

The following is a set of directions that you must follow to arrive at your destination: Go three miles east on 1-40 until you come to Exit 103. Turn left at the end of the exit ramp and proceed…. You will be given all the information needed to arrive at the correct destination. However, only the person who is assessing your performance will know the destination and the reason you need to arrive there.


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