Should algebra be taught by 8th grade? What does the research say?
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In response to your request on teaching algebra in eighth grade, I conducted a sample search of the ERIC database. Below I have appended my search strategy, 12 citations with abstracts, and directions for accessing the full text. These citations may represent an introductory, rather than exhaustive, search for information on your topic.
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* Improving Mathematics in Middle School: Lessons from TIMSS and Related Research
(March 1998) By Edward A. Silver, School of Education and LRDC, University of Pittsburgh
http://www.ed.gov/inits/Math/silver.htm
* The Third International Mathematics and Science Study (TIMSS)
TIMSS tested and analyzed the performance of more than than half a million students and administered questionnaires to thousands of educators and administraotrs. Also, TIMSS investigated the mathematics and science curricula of about 40 countries including curriculum guides, textbooks, and other curricular materials.
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* America Counts
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* Mathematics Education
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http://mathforum.org/mathed/
* Annenberg/CPB - The Guide to Math and Science Reform, 5th Edition
The Guide to Math & Science Reform is a database of more than 1000 entries that describe projects and organizations dedicated to significantly improving K-12 mathematics and science education in America. The Guide was developed to share current information about science and mathematics education and to help interested individuals contact others with similar goals.
http://www.learner.org/theguide/
* ERIC Digest: Curriculum and Evaluation Standards for Mathematics Education.
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* National Council of Teachers of Mathematics
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Below are several ERIC Citations that may be relevant to your question. For information on obtaining the full text of the materials cited below please refer to our document on how to obtain the full text of materials cited in ERIC at:
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ERIC Database Citations through 12/2002:
Search Strategy: algebra (All Descriptors) AND mathematics curriculum (All Descriptors) AND mathematics education (All Descriptors)
To run this search in the ERIC Database click the "Submit" button
Record 1 of 12 - The ERIC Database
AN: ED430792
CHN: SE062573
AU: Leutzinger,-Larry, ed.
TI: Mathematics in the Middle.
CS: National Council of Teachers of Mathematics, Inc., Reston, VA.;
National
Middle School Association, Columbus, OH.
PY: 1998
AV: National Council of Teachers of Mathematics, 1906 Association Drive,
Reston,
VA 20191-1593.
PR: EDRS Price MF01 Plus Postage. PC Not Available from EDRS.
DL: http://www.edrs.com/members/sp.cfm?AN=ED430792
DT: Books (010)
CP: U.S.; Virginia
LA: English
PG: 225
DE: *Educational-Change; *Mathematics-Curriculum;
*Mathematics-Instruction;
*Middle-Schools
DE: Algebra-; Arithmetic-; Educational-Technology; Geometry-;
High-Schools;
Student-Evaluation
AB: This book contains articles that help to further the process of reform
in
the middle grades, recognizing that the knowledge acquired during these
years
greatly affects how well the secondary school curriculum will attain its
goals.
Critical issues facing middle grade classes in particular and all
mathematics
classrooms in general are discussed. The centerpiece of this book features
five
curriculum development projects, all explained in detail and presenting
important topics concerning the reform issue. Projects, activities, and
programs
that encourage the implementation of the recommendations made by the
National
Council of Teachers of Mathematics (NCTM) are also included. Chapters
include:
(1) "Middle School Mathematics Reform: Form vs. Spirit" (Gary
Tsuruda); (2)
"Algebra: The First Gate" (Elizabeth Phillips and Glenda Lappan)
(3) "A
Multiple-Intelligence Approach to Middle School Mathematics" (Dean A.
Murphy);
(4) "Conceptual and Procedural Understanding in Middle School
Mathematics"
(Anthony Rickard); (5) "Transforming Middle School Mathematics
through Teacher
Empowerment" (Azita Manouchehri and Carol Sipes); (6) "The Role
of Technology in
the Middle Grades" (Gary G. Bitter and Mary M. Hatfield); (7)
"Parents: A
Critical Piece of the Mathematics Reform Puzzle" (Mary L.
Delagardelle and
Matthew A. Ludwig); (8) "Implementing Recommended Reforms in Middle
School
Mathematics Education: Perceptions of Preservice Teachers" (Todd
Johnson); (9)
"Rethinking Professional Development: Supporting Reform in
Middle-Grades
Mathematics through the Cultivation of Teaching Dispositions" (Ron
Ritchhart);
(10) "Accomplishing New Goals for Instruction and Assessment through
Classroom-Embedded Professional Development" (Nancy Katims and Clara
F.
Tolbert); (11) "Reflections on High School Reform and Implications
for Middle
School" (Eric W. Hart and Jacqueline Stewart); (12) "Ports of
Entry into
Curricular Change" (Steven R. Williams, Stephanie Z. Smith, Judith
Mumme, and
Nanette Seago); (13) "Teaching and Learning in the Connected
Mathematics
Project" (Glenda Lappan and Elizabeth Phillips); (14) "Middle
Grades Math
Thematics: The STEM Project--a Look at Developing a Middle School
Mathematics
Curriculum" (Rick Billstein); (15) "Designing Middle School
Mathematics
Materials Using Problems Created to Help Students Progress from Informal
to
Formal Mathematical Reasoning" (Thomas A. Romberg); (16) "What
Should a Middle
School Mathematics Classroom Look Like? Watching the 'Seeing and Thinking
Mathematically' Curriculum in Action" (Glenn M. Kleiman, Dan Tobin,
and Shelley
Isaacson); (17) "Engaging Middle Schoolers in and through Real-World
Mathematics" (Shelley V. Goldman, Jennifer Knudsen, and Michelle
Latvala); (18)
"Classroom-Based Curriculum Development: A Case History" (Linda
Cooper Foreman);
(19) "Standards-Based Middle School Mathematics Curricula: What Do
Students
Think?" (Robert E. Reys, Barbara J. Reys, David E. Barnes, John K.
Beem, Richard
T. Lapan, and Ira J. Papick); (20) "The Power of Discourse"
(Connie Laughlin and
John C. Moyer); (21) "Mathematics the Write Way" (Ann M. Enyart
and Laura R. Van
Zoest); (22) "Mathematics by E-Mail" (Evelyn M. Silvia); (23)
"Infusing Shape
and Dimension into the Mathematics Curriculum" (Deann Huinker, Connie
Laughlin,
and Joseph Georgeson); (24) "The Pentomino Project: Moving Students
from
Manipulatives to Reasoning and Thinking about Mathematical Ideas"
(Susan Mercer
and Marjorie A. Henningsen); (25) "Technology-Based Geometric
Explorations for
the Middle Grades" (Mary C. Enderson and Azita Manouchehri); (26)
"Building
Foundations for Conceptual Understanding of Arithmetic Average in the
Middle-Grades Classroom" (Jinfa Cai); (27) "Developing Concepts
in Probability:
Designing and Analyzing Games" (Frances R. Curcio, Barbara
Nimerofsky, Rossana
Perez, and Shirel Yaloz-Femia), and (28) "Promoting Mathematical
Learning in the
Middle School: PUMP Project Strategies" (Carol A. Thornton, Jane O.
Swafford,
Graham A. Jones, Cynthia W. Langrall, Gladis Kersaint, and Edward Mooney).
(ASK)
LV: 2
CH: SE
FI: ED
DTC: 010
UD: 199910 (RIE)
Record 2 of 12 - The ERIC Database
AN: EJ526526
CHN: SE556080
AU: English,-Lyn-D.; Warren,-Elizabeth-A.
TI: General Reasoning Processes and Elementary Algebraic Understanding:
Implications for Initial Instruction.
PY: 1995
SO: Focus-on-Learning-Problems-in-Mathematics; v17 n4 p1-19 Fall 1995
ISSN: 0272-8893
DT: Reports-Research (143); Journal-Articles (080)
LA: English
DE: *Algebra-; *Generalization-; *Junior-High-School-Students;
*Mathematics-Instruction; *Patterns-in-Mathematics; *Problem-Solving;
*Thinking-Skills
DE: Foreign-Countries; Grade-7; Grade-8; Junior-High-Schools
ID: Australia-(Brisbane)
AB: Assessment of general reasoning processes, elementary algebraic
understanding, and novel problem solving of (n=147) seventh- and
eighth-grade
students found that abilities to generalize from patterns and tables of
data and
understanding variable constructs contributed significantly to application
of
algebraic concepts and processes. Questions algebraic instructional
practices
using patterning without additional instruction in drawing
generalizations.
Contains 68 references. (MKR)
CH: SE
FI: EJ
DTC: 143; 080
UD: 199611 (CIJE)
Record 3 of 12 - The ERIC Database
AN: ED396915
CHN: SE058343
AU: Shakrani,-Sharif
TI: Eighth-Grade Algebra Course-Taking and Mathematics Proficiency.
CS: National Center for Education Statistics (ED), Washington, DC.
RN: NCES-96-815
PY: 1996
SO: NAEPFACTS-; v1 n2 Feb 1996
PR: EDRS Price MF01/PC01 Plus Postage.
DL: http://www.edrs.com/members/sp.cfm?AN=ED396915
DT: Collected-Works-Serials (022); Numeric-or-Quantitative-Data (110);
Reports-Research (143)
CP: U.S.; District-of-Columbia
LA: English
GL: Federal
PG: 5
DE: *Algebra-; *Grade-8; *Junior-High-School-Students;
*Mathematics-Achievement;
*National-Competency-Tests
DE: Junior-High-Schools
ID: *National-Assessment-of-Educational-Progress
AB: This brochure is part of NAEPFACTS, a new series that briefly
summarizes
findings from the National Assessment of Educational Progress (NAEP).
Course-taking is generally a powerful indicator of mathematics
achievement. This
occurs partially because students who are more proficient tend to take
more
mathematics classes and, at the eighth grade, the better students are
tracked
into more advanced classes. The 1992 NAEP results linking proficiency to
course
work confirm this pattern, with eighth graders enrolled in pre-algebra and
algebra courses having higher proficiency scores than students taking
eighth-grade mathematics. Contains two tables for 1992: (1) National
average
proficiency of public and private school eighth-grade students by
mathematics
course-taking, and by race and gender and (2) Average proficiency of
eighth-grade public school students by mathematics course-taking, and by
state.
(MKR)
LV: 1
CH: SE
FI: ED
DTC: 022; 110; 143
UD: 199611 (RIE)
Record 4 of 12 - The ERIC Database
AN: EJ515323
CHN: SE555019
AU: Heid,-M.-Kathleen; Zbiek,-Rose-Mary
TI: A Technology-Intensive Approach to Algebra.
PY: 1995
SO: Mathematics-Teacher; v88 n8 p650-56 Nov 1995
ISSN: 0025-5769
NT: Focus issue: Emerging Programs.
DT: Guides-Classroom-Teacher (052); Journal-Articles (080)
TA: Teachers; Practitioners
LA: English
DE: *Algebra-; *Computer-Uses-in-Education; *Demonstration-Programs;
*Mathematical-Applications; *Mathematics-Instruction
DE: Educational-Technology; Mathematics-Education; Secondary-Education;
Secondary-School-Mathematics
ID: *Reform-Efforts; *Representations-(Mathematics)
AB: Computer-Intensive Algebra (CIA) focuses on the use of technology to
help
develop a rich understanding of fundamental algebraic concepts in
real-world
settings using computing tools for easy access to numerical, graphical,
and
symbolic representations of mathematical ideas. (MKR)
CH: SE
FI: EJ
DTC: 052; 080
UD: 199604 (CIJE)
Record 5 of 12 - The ERIC Database
AN: ED389590
CHN: SE057234
AU: Brahier,-Daniel-J.
TI: Mathematical Dispositions of Students Enrolled in First-Year Algebra.
PY: 1995
NT: Paper presented at the Annual Meeting of the North American Chapter of
the
International Group for the Psychology of Mathematics Education (17th,
Columbus,
OH, October 21-24, 1995). For entire conference proceedings, see SE 057
177.
PR: EDRS Price MF01/PC01 Plus Postage.
DL: http://www.edrs.com/members/sp.cfm?AN=ED389590
DT: Reports-Research (143); Speeches-or-Meeting-Papers (150)
CP: U.S.; Ohio
LA: English
PG: 8
DE: *Affective-Behavior; *Algebra-; *Junior-High-School-Students;
*Personality-;
*Student-Attitudes
DE: Grade-8; Junior-High-Schools; Mathematics-Education; Observation-;
Secondary-Education; Surveys-
AB: Dispositions of eighth graders accelerated into first-year algebra
were
described in this study. Data were collected through surveys,
observations,
interviews, and cumulative academic files. The most frequently reported
reasons
for enrolling in algebra were for acceleration of course-taking and
preparation
for high school. Males demonstrated a higher level of self-efficacy to
perform
in algebra and secondary mathematics. Students showed a high level of
perseverance in terms of sacrifices made to take the course, but classroom
performances indicated negative dispositions toward mathematics. Students
were
driven by a desire to please the teacher and earn grades rather than out
of
natural curiosity and interest. Neither students nor their parents
recognized
the real-world applications of algebra. Certain teaching methodologies
appeared
to evoke positive dispositions. Contains 17 references. (Author)
LV: 1
CH: SE
FI: ED
DTC: 143; 150
UD: 199604 (RIE)
Record 6 of 12 - The ERIC Database
AN: ED389571
CHN: SE057214
AU: Rachlin,-Sidney-L.
TI: The Development of Problem-Solving Processes in a Heterogeneous Eighth
Grade
Algebra Class.
PY: 1995
NT: Paper presented at the Annual Meeting of the North American Chapter of
the
International Group for the Psychology of Mathematics Education (17th,
Columbus,
OH, October 21-24, 1995). For entire conference proceedings, see SE 057
177.
PR: EDRS Price MF01/PC01 Plus Postage.
DL: http://www.edrs.com/members/sp.cfm?AN=ED389571
DT: Reports-Research (143); Speeches-or-Meeting-Papers (150)
CP: U.S.; North-Carolina
LA: English
PG: 8
DE: *Algebra-; *Cognitive-Processes; *Junior-High-School-Students;
*Mathematics-Instruction; *Problem-Solving
DE: Grade-8; Junior-High-Schools; Teaching-Methods
AB: The primary purpose of this study was to evaluate the application of a
process approach for the teaching of algebra with a heterogeneous class of
eighth-grade students. The assessment was conducted by identifying the
processes
used by above-average, average, and below-average algebra students in
solving
standard and nonstandard problems ranging across a content X process X
form
matrix-(integers, fractions, polynomials) X (generalization,
reversibility,
flexibility) X (expression, equation). Transcripts of the experimental
data were
coded and contrasted with normed data from earlier studies involving more
homogeneous groups. (Author)
LV: 1
CH: SE
FI: ED
DTC: 143; 150
UD: 199604 (RIE)
Record 7 of 12 - The ERIC Database
AN: EJ514088
CHN: SE554990
AU: Dugdale,-Sharon; and-others
TI: Technology and Algebra Curriculum Reform: Current Issues, Potential
Directions, and Research Questions.
PY: 1995
SO: Journal-of-Computers-in-Mathematics-and-Science-Teaching; v14 n3
p325-57
1995
ISSN: 0731-9258
DT: Opinion-Papers (120); Journal-Articles (080)
LA: English
DE: *Algebra-; *Educational-Technology; *Models-;
*Secondary-School-Mathematics
DE: Calculators-; Higher-Education; Mathematics-Education;
Mathematics-Instruction; Secondary-Education; Student-Evaluation
ID: *Mathematics-Education-Research; *Reform-Efforts
AB: Characterizes algebra as a way of reasoning involving
variables/functional
relationships, generalization/modes of representation, and mathematical
investigation/argument. Examines curricular goals; considers contributions
of
technology to reconceptualize algebra; and suggests directions for future
development of tools and models, research agendas, and implications for
assessment. Contains 62 references. (Author/MKR)
CH: SE
FI: EJ
DTC: 120; 080
UD: 199603 (CIJE)
Record 8 of 12 - The ERIC Database
AN: ED385437
CHN: SE056573
AU: Lacampagne,-Carole-B., ed.; and-others
TI: The Algebra Initiative Colloquium. Volume 2: Working Group Papers.
CS: Office of Educational Research and Improvement (ED), Washington, DC.
PY: 1995
ISBN: 0160480752
AV: U.S. Government Printing Office, Superintendent of Documents, Mail
Stop:
SSOP, Washington, DC 20402-9328.
NT: For volume 1, see SE 056 572.
PR: EDRS Price MF01/PC10 Plus Postage.
DL: http://www.edrs.com/members/sp.cfm?AN=ED385437
DT: Collected-Works-Proceedings (021); Opinion-Papers (120)
CP: U.S.; District-of-Columbia
TA: Teachers; Practitioners
LA: English
PG: 231
DE: *Algebra-; *Educational-Change; *Mathematics-Curriculum;
*Mathematics-Instruction
DE: Conference-Proceedings; Elementary-Secondary-Education;
Higher-Education;
Mathematics-Education; Teacher-Education
ID: *Reform-Efforts
AB: This volume presents recommendations from four working groups at a
conference on reform in algebra held in Leesburg, Virginia, December 9-12,
1993.
Working Group 1: Creating an Appropriate Algebra Experience for All Grades
K-12
Students produced the following papers: (1) "Report" (A. H.
Schoenfeld); (2)
"Five Questions About Algebra Reform (and a thought experiment)"
(D. Chazan);
(3) "Algebra and the Democratic Imperative" (R. B. Davis); (4)
"Realism(s) for
Learning Algebra" (R. Hall); (5) "Algebra, The New Civil
Right" (B. Moses); (6)
"Issues Surrounding Algebra" (E. Phillips); (7) "Is
Thinking About 'Algebra' a
Misdirection?" (A. H. Schoenfeld); and (8) "Thoughts Preceding
the Algebra
Colloquium" (Z. Usiskin). Working Group 2: Educating Teachers,
Including K-8
Teachers, to Provide These Algebra Experiences produced: (1)
"Report" (A.
Buccino); (2) "Educating Teachers to Provide Appropriate Algebra
Experiences:
Practicing Elementary and Secondary Teachers--Part of the Problem or Part
of the
Solution?" (C. Gifford-Banwart); (3) "Educating Teachers for
Algebra" (A.
Buccino); (4) "Experience, Abstraction, and 'Algebra for All': Some
Thoughts on
Situations, Algebra, and Feminist Research" (S. K. Damarin); (5)
"Educating
Teachers, Including K-8 Teachers, to Provide Appropriate Algebra
Experiences"
(N. D. Fisher); (6) "On the Learning and Teaching of Linear
Algebra" (G. Harel);
and (7) "Algebra: The Next Public Stand for the Vision of Mathematics
for All
Students" (H. S. Kepner, Jr.). Working Group 3: Reshaping Algebra to
Serve the
Evolving Needs of the Technical Workforce produced: (1) "Report"
(S. Forman);
(2) "Algebra, Jobs, and Motivation" (P. Davis); (3) "To
Strengthen Technical
Education Systematically" (J. G. Greeno); (4) "Thoughts About
Reshaping Algebra
to Serve the Evolving Needs of a Technical Workforce" (R. Lesh); (5)
"Algebra
for the Technical Workforce of the 21st Century" (P. D. McCray); (6)
"Some
Thoughts on Algebra for the Evolving Work Force" (T. A. Romberg &
M. Spence);
and (7) "Algebra: A Vision for the Future" (S. S. Wood). Working
Group 4:
Renewing Algebra at the College Level to Serve the Future Mathematician,
Scientist, and Engineer produced: (1) "Report" (J. Gallian); (2)
"Some Thoughts
on Teaching Undergraduate Algebra" (W. D. Blair); (3) "Toward
One Meaning for
Algebra" (A. Cuoco); (4) "Some Thoughts on Abstract
Algebra" (S. Montgomery);
and (5) "Suggestions for the Teaching of Algebra" (W. Y. Velez).
Appendices
include the conference agenda; Conceptual Framework for the Algebra
Initiative
of the National Institute on Student Achievement, Curriculum, and
Assessment;
and a participant list. (MKR)
LV: 1
CH: SE
FI: ED
DTC: 021; 120
UD: 199512 (RIE)
Record 9 of 12 - The ERIC Database
AN: ED385436
CHN: SE056572
AU: Lacampagne,-Carole-B., ed.; and-others
TI: The Algebra Initiative Colloquium. Volume 1: Plenary and Reactor
Papers.
CS: Office of Educational Research and Improvement (ED), Washington, DC.
PY: 1995
ISBN: 0160480752
AV: U.S. Government Printing Office, Superintendent of Documents, Mail
Stop:
SSOP, Washington, DC 20402-9328.
NT: For volume 2, see SE 056 573.
PR: EDRS Price MF01/PC07 Plus Postage.
DL: http://www.edrs.com/members/sp.cfm?AN=ED385436
DT: Collected-Works-Proceedings (021); Opinion-Papers (120)
CP: U.S.; District-of-Columbia
TA: Teachers; Practitioners
LA: English
PG: 157
DE: *Algebra-; *Educational-Change; *Mathematics-Curriculum;
*Mathematics-Instruction
DE: Conference-Proceedings; Elementary-Secondary-Education;
Higher-Education;
Mathematics-Education; Teacher-Education
ID: *Reform-Efforts
AB: This volume contains the plenary or reactor papers presented at a
conference
on reform in algebra held in Leesburg, Virginia, December 9-12, 1993.
Papers
included are: (1) "Introduction" (C. B. Lacampagne); (2)
"Summary" (C. B.
Lacampagne); (3) "Recommendations" (C. B. Lacampagne); (4)
"The Development of
Algebra and Algebra Education" (V. J. Katz); (5) "Long-Term
Algebra Reform:
Democratizing Access to Big Ideas" (J. J. Kaput); (6) "Algebra
in the K-12
Curriculum" (G. Burrill); (7) "What Is the Appropriate K-12
Algebra Experience
for Various Students?" (J. Fey); (8) "Algebra at the College
Level" (M. Artin);
(9) "Algebra Initiative" (V. Pless); (10) "Algebra and the
Technical Workforce"
(H. Pollak); (11) "Reshaping Algebra to Serve the Evolving Needs of
the
Technical Workforce" (S. Garfunkel); (12) "A Cognitive
Perspective in the
Mathematical Preparation of Teachers: The Case of Algebra" (A. G.
Thompson & P.
W. Thompson); (13) "Preparing Teachers to Teach Algebra for All:
Preliminary
Musings and Questions" (M. Enneking); and (14) "Algebra for All:
Dumbing Down or
Summing Up?" (L. A. Steen). Appendices include the conference agenda;
Conceptual
Framework for the Algebra Initiative of the National Institute on Student
Achievement, Curriculum, and Assessment; and a participant list. (MKR)
LV: 1
CH: SE
FI: ED
DTC: 021; 120
UD: 199512 (RIE)
Record 10 of 12 - The ERIC Database
AN: EJ505700
CHN: SE554303
AU: Arcavi,-Abraham
TI: Teaching and Learning Algebra: Past, Present, and Future.
PY: 1995
SO: Journal-of-Mathematical-Behavior; v14 n1 p145-62 Mar 1995
ISSN: 0732-3123
DT: Opinion-Papers (120); Speeches-or-Meeting-Papers (150);
Journal-Articles
(080)
LA: English
DE: *Algebra-; *Concept-Formation; *Mathematics-Instruction;
*Mathematics-Skills; *Symbols-Mathematics
DE: Elementary-Secondary-Education; Higher-Education;
Mathematics-Education;
Technology-
AB: This article is the last keynote address of the Algebra Working Group
of the
Seventh International Conference on Mathematical Education held in Quebec
City,
Canada in August 1992. Attempts to integrate, and react to, the broad
range of
issues raised by the Algebra Working Group. (35 references) (MKR)
CH: SE
FI: EJ
DTC: 120; 150; 080
UD: 199510 (CIJE)
Record 11 of 12 - The ERIC Database
AN: EJ505695
CHN: SE554298
AU: Bell,-Alan
TI: Purpose in School Algebra.
PY: 1995
SO: Journal-of-Mathematical-Behavior; v14 n1 p41-73 Mar 1995
ISSN: 0732-3123
DT: Information-Analyses-General (070); 120; Speeches-or-Meeting-Papers
(150);
Journal-Articles (080)
LA: English
DE: *Algebra-; *Mathematics-Achievement; *Mathematics-Curriculum
DE: Mathematics-Education; Mathematics-Instruction; Secondary-Education
ID: *Mathematics-Education-Research
AB: Clarifies aims and objectives of school algebra, reviews research on
students' performance, and suggests curriculum modifications. This article
is
one of the keynote addresses of the Algebra Working Group of the Seventh
International Conference on Mathematical Education held in Quebec City,
Canada
in August 1992. (26 references) (Author/MKR)
CH: SE
FI: EJ
DTC: 070; 120; 150; 080
UD: 199510 (CIJE)
Record 12 of 12 - The ERIC Database
AN: EJ495496
CHN: SE553430
AU: Herscovics,-Nicolas; Linchevski,-Liora
TI: A Cognitive Gap between Arithmetic and Algebra.
PY: 1994
SO: Educational-Studies-in-Mathematics; v27 n1 p59-78 Jul 1994
ISSN: 0013-1954
DT: Reports-Research (143); Journal-Articles (080)
LA: English
DE: *Algebra-; *Arithmetic-; *Cognitive-Development;
*Cognitive-Structures;
*Equations-Mathematics; *Junior-High-School-Students
DE: Elementary-Secondary-Education; Foreign-Countries; Grade-7;
Interviews-;
Mathematics-Curriculum; Mathematics-Education; Mathematics-Instruction
ID: Canada-; Mathematics-Education-Research; Quebec-(Montreal)
AB: Investigated the upper limits of (n=22) seventh-grade students'
informal
processes in solving first degree equations in one unknown prior to
instruction.
Results indicated the existence of a cognitive gap between arithmetic and
algebra characterized as the students' inability to operate spontaneously
with
or on the unknown. (37 references) (Author/MKR)
CH: SE
FI: EJ
DTC: 143; 080
UD: 199504 (CIJE)