Assessing Students through Data-Exploration Tasks

1996 ◽  
Vol 2 (6) ◽  
pp. 366-371
Author(s):  
Dominic Peressini ◽  
Judy Bassett

As students strive to develop their mathematical power in a society grounded in technology and communication, it is critical that they be able to interpret a variety of data. Data exploration has become an essential aspect of the mathematics curriculum as the “information age” has evolved. Teachers need to assess students involved in data exploration so that they can understand students' knowledge of this content. This assessment is an integral component of the instructional process in mathematics education. Performance tasks constitute a powerful tool for assessing students' abilities in mathematics. This article examines students' responses to a performance-assessment task in which students are engaged in exploring data.

1996 ◽  
Vol 178 (2) ◽  
pp. 15-32 ◽  
Author(s):  
Albert A. Cuoco ◽  
E. Paul Goldenberg

New technology poses challenges to mathematics educators. How should the mathematics curriculum change to best make use of this new technology? Often computers are used badly, as a sort of electronic flash card, which does not make good use of the capabilities of either the computer or the learner. However, computers can be used to help students develop mathematical habits of mind and construct mathematical ides. The mathematics curriculum must be restructured to include activities that allow students to experiment and build models to help explain mathematical ideas and concepts. Technology can be used most effectively to help students gather data, and test, modify, and reject or accept conjectures as they think about these mathematical concepts and experience mathematical research.


Author(s):  
Maria Bozukova

The new century is very different. On the basis of interdependence, humanity has a unique opportunity for industrial modernization, alongside the dynamics of technology and communication development, information entropy, the volcanic eruption of visual and sound culture. This necessitates modernization in the education system /digital competences, transversal skills and good continuity between different stages of education /, triggered by intense changes in technology and the way of life of modern children. In kindergarten and primary education, the foundations for developmental learning are laid, where knowledge and skills in mathematics education are to be acquired and communicated that are applicable in everyday life.


2021 ◽  
Vol 15 (5) ◽  
pp. 85-95
Author(s):  
Hye Yoon Choi ◽  
Sang Kil Shim

The objective of this study is to examine changes in the Mathematics Curriculum and the College Scholastic Ability Test that affect the changes in the Basic Mathematical Ability of students enrolled in Science and Engineering departments and to compare and analyze the educational contents of basic general mathematics completed by first-year students in science and engineering fields in order to provide improvement plans for basic general mathematics. In Korea, whenever the mathematics curriculum is revised, the content covered in the previous curriculum is deleted or weakened in order to optimize the educational content, and ‘Calculus’ and ‘Geometry’ are required for science and engineering students to choose in the college scholastic ability test. Thus, the basic academic ability of mathematics is lowered, and it is difficult to complete the basic general mathematics taught in the first year of university. In order to solve this problem, it is necessary to analyze the mathematics and curriculum to include deleted or weakened contents in the university's basic general mathematics, to understand the students' basic academic ability in mathematics, and to operate basic general mathematics by level or operate basic mathematics courses. In addition, when revising the mathematics both in curriculum and the university scholastic ability test, the opinions of professors in charge of basic general mathematics education at universities should be sufficiently reflected to minimize changes in key factors for students to complete basic general mathematics, and it is necessary to provide policy support at the national level for the development and operation of the curriculum for general mathematics education at a college level.


1983 ◽  
Vol 26 ◽  
Author(s):  
L. D. Tyler ◽  
R. R. Peters ◽  
N. K. Hayden ◽  
J. K. Johnstone ◽  
S. Sinnock

ABSTRACTThe Nevada Nuclear Waste Storage Investigations (NNWSI) project includes a Performance Assessment task to evaluate the containment and isolation potential for a nuclear waste repository at Yucca Mountain in southern Nevada. This task includes calculations of the rates and concentrations at which radionuclides might be released and transported from the repository and will predict their consequences if they enter the human environment. Among the major tasks required for these calculations will be the development of models for water flow and nuclide transport under unsaturated conditions and in fractured hard rock. The program must also quantify the uncertainties associated with the results of the calculations. The performance assessment will provide evaluations needed for making major decisions as the U. S. Department of Energy seeks a site for a repository. An evaluation will be part of the environmental assessments prepared to accompany the potential nomination of the site. If the Yucca mountain site is selected for characterization and development as a repository, the assessments will be required for an environmental impact statement, a safety analysis report, and other documents.This program has been divided into five tasks. Collectively they will provide the performance assessments needed for the NNWSI Project.


Pythagoras ◽  
2012 ◽  
Vol 33 (2) ◽  
Author(s):  
Paola Valero ◽  
Gloria García ◽  
Francisco Camelo ◽  
Gabriel Mancera ◽  
Julio Romero

On the grounds of our work as researchers, teacher educators and teachers engaging with a socio-political approach in mathematics education in Colombia, we propose to understand democracy in terms of the possibility of constructing a social subjectivity for the dignity of being. We address the dilemma of how the historical insertion of school mathematics in relation to the Colonial project of assimilation of Latin American indigenous peoples into the episteme of the Enlightenment and Modernity is in conflict with the possibility of the promotion of a social subjectivity in mathematics classrooms. We illustrate a pedagogical possibility to move towards a mathematics education for social subjectivity with our work in reassembling the notion of geometrical space in the Colombian secondary school mathematics curriculum with notions of space from critical geography and the problem of territorialisation, and Latin American epistemology with the notion of intimate space as an important element of social subjectivity.


1990 ◽  
Vol 37 (8) ◽  
pp. 4-5
Author(s):  
Portia Elliott

The framers of the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) call for a radical “design change” in all aspects of mathematics education. They believe that “evaluation is a tool for implementing the Standards and effecting change systematically” (p. 189). They warn, however, that “without changes in how mathematics is assessed, the vision of the mathematics curriculum described in the standards will not be implemented in classrooms, regardless of how texts or local curricula change” (p. 252).


1988 ◽  
Vol 36 (1) ◽  
pp. 2
Author(s):  
Francis (Skip) Fennell

Did you see it? What? Why, the new subtitle, of course. Beginning with this volume, 36, the Arithrnetic Teacher will be subtitled “Mathematics Education through the Middle Grades.” Our subtitle accurately represents the content and intended audience of those articles published in the journal. The subtitle also attempts to publicize to our readership that a contemporary mathematics curriculum include attention to a variety of topic other than arithmetic.


1992 ◽  
Vol 39 (6) ◽  
pp. 24-29 ◽  
Author(s):  
David J. Clarke

The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989, 1, 2) emphasizes the role of evaluation “in gathering information on which teachers can base their subsequent instruction.” This strong sense of assessment's informing instructional practice is also evident in the materials arising from the Australian Mathematics Curriculum and Teaching Program (Clarke 1989: Lovitt and Clarke 1988, 1989). Both projects offer their respective mathematics-education communities a set of goal much broader than those traditionally conceived for mathematics instruction. The adoption of these goals by mathematics teachers and school systems demands the use of new assessment strategies if the restructuring of the mathematics curriculum and mathematics-teaching practice is to be effected. Mathematics education must not restrict itself to those goals that can be assessed only through conventional pencil-and-paper methods.


1984 ◽  
Vol 15 (1) ◽  
pp. 73-75
Author(s):  
John G. Harvey

Unlike most books reviewed in the journal for Research in Mathematics Education, Problem Solving in the Mathematics Curriculum (PSMC) does not report research. Instead, it seems designed to (a) recommend that problem solving be consistently included in collegiate mathematics instruction, (b) describe some considerations in and ways of teaching problem solving, (c) present an extensive bibliography chosen to help those initiating or teaching problem-solving courses or problem-solving sequences within courses, and (d) give the results of a survey conducted by the Committee on the Teaching of Mathematics of the Mathematical Association of America; the survey provided the impetus for PSMC. Accordingly, the book is divided into four parts. The short first part describes the evolution of PSMC and the recommendations of the Committee on the Teaching of Mathematics. The second part, a more-or-less personal essay by Alan Schoenfeld, gives suggestions for teaching problem solving. The third and most extensive part is an annotated bibliography of journals, books, and articles that might be used to develop in struction in problem solving or to find appropriate problems for such instruction. The last part presents both the survey instrument and the results of the survey.


1996 ◽  
Vol 27 (5) ◽  
pp. 609-615
Author(s):  
Nel Noddings

All four of the books reviewed here are deeply concemed with issues of equiry in mathematics education. I'll say a bit about each book in order to orient readers, and then I'll organize my remarks around the themes that arise again and again: the nature of mathematics. mathematics curriculum and pedagogy, and the philosophical and cultural factors inside and outside classroom that affect our educational efforts.


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