The aim of the study was to exemplify pupils' mastering of mathematical literacy. The study is a comparative multiple case study. In pupils' talk of mathematical activities aspects of mathematical literacy are discerned. A distinction is made between pupils: (1) pupils in mathematical difficulties, (2) pupils with another mother tongue than Swedish or (3) pupils without mathematical difficulties. The study was performed as a comparative multiple case study. The "cases" were...

Topics: ERIC Archive, Numeracy, Mathematics Activities, Mathematics Instruction, Foreign Countries, Case...

The purpose of this study was to assess the value of dynamic assessment (DA; degree of scaffolding required to learn unfamiliar mathematics content) for predicting 1st-grade calculations (CAs) and word problems (WPs) development, while controlling for the role of traditional assessments. Among 184 1st graders, predictors (DA, Quantity Discrimination, Test of Mathematics Ability, language, and reasoning) were assessed near the start of 1st grade. CA and WP were assessed near the end of 1st...

Topics: ERIC Archive, Child Health, Word Problems (Mathematics), Grade 1, Academic Achievement, Prediction,...

10
10.0

Jan 31, 2020
01/20

by
Keeley, Shannon

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96 pages : 28 cm

Topics: Fourth grade (Education) -- Problems, exercises, etc, Mathematics -- Problems, exercises, etc, Word...

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with reading diagrams. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try it,""apply it," and "go with it." The objective for the lesson is for the student to learn to locate and apply information from a diagram. (YLB)

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Basic Skills, Behavioral Objectives,...

This paper proposes a learning based method that can automatically determine how likely a student is to give a correct answer to a problem in an intelligent tutoring system. Only log files that record students' actions with the system are used to train the model, therefore the modeling process doesn't require expert knowledge for identifying domain specific skills that are needed to solve the problem or students' possible solution methods etc. The model utilizes a set of performance features,...

Topics: ERIC Archive, Programming, Evidence, Intelligent Tutoring Systems, Regression (Statistics),...

The case study focuses on the interactional mechanisms through which online collaborative teams co-construct a shared understanding of an analytical geometry problem by using dynamic geometry representations. The collaborative study consisted of an assignment on which the learners worked together in groups to solve a ship navigation problem as described in the Virtual Math Teams (VMT) environment. In this paper, a single group's problem solving activities were qualitatively analyzed to...

Topics: ERIC Archive, Case Studies, Cooperative Learning, Computer Managed Instruction, Geometry, Word...

5
5.0

Aug 26, 2020
08/20

by
Marsico, Katie

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1 online resource

Topics: Mathematics -- Juvenile literature, Physical fitness -- Mathematics -- Juvenile literature, Word...

The study proves that a didactical model based in a method to solve word problems of increasing complexity which uses a numerical approach was essential to develop the analytical ability and the competent use of the algebraic language with students from three different performance levels in elementary algebra. It is shown that before using the analysis ("numerical analysis") comprised in the method, a "preparatory analysis" is required. It was observed that when the use of...

Topics: ERIC Archive, Algebra, Word Problems (Mathematics), Problem Solving, Junior High School Students,...

This study investigated the effectiveness of a schema strategy on the addition and subtraction word problem solving performance of four sixth and seventh grade students with learning disabilities. Students were taught to map features of the word problem onto problem schemata diagrams, first for one-step problems and then for two-step problems. A multiple-baseline design across students and across two behaviors was used. Results indicated that the schema strategy led to increases in the...

Topics: ERIC Archive, Classroom Techniques, Generalization, Instructional Effectiveness, Intermediate...

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of pipefitting contain a lesson that deals with reading charts and graphs. The lesson consists of an objective, instruction, and seven exercises. Three types of problems are provided in each exercise: "try it,""apply it," and "go with it." The objective for the lesson is for the student to learn to locate and apply information from a...

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Basic Skills, Behavioral Objectives, Building...

A traditional view of mathematics learning suggests that basic fact knowledge provides a cornerstone for success in problem solving. But possibly, for some children, automated basic fact responses may be disadvantageous for their problem solving success. The purpose of this study was to investigate the relationship between basic fact knowledge and success in solving addition and subtraction word problems. The sample consisted of second graders (n=42) from an urban neighborhood school in a large...

Topics: ERIC Archive, Addition, Black Students, Correlation, Elementary School Mathematics, Elementary...

We examined the effects of teaching overt precurrent behaviors on the current operant of solving multiplication and division word problems. Two students were taught four precurrent behaviors (identification of label, operation, larger numbers, and smaller numbers) in a different order, in the context of a multiple baseline design. After meeting criterion on three of the four precurrent skills, the students demonstrated the current operant of correct problem solutions. These skills generalized...

Topics: ERIC Archive, Children, Autism, Word Problems (Mathematics), Problem Solving, Reinforcement, Grade...

There are five words that are critical to an appreciation of what is "typical" in data sets that students encounter across the middle school years. The first three words--mean, median and mode--are nouns that define measures of typicality in data sets. The next two words--categorical and numerical--are adjectives that describe the types of data sets to which we may wish to apply the measures. The purpose of this article is to present and discuss in a down-to-earth fashion, with...

Topics: ERIC Archive, Secondary School Mathematics, Data, National Curriculum, Outcome Measures,...

The authors propose that word problems can serve as a context in which to learn mathematics concepts for elementary school students, providing a bridge for connecting classroom mathematics with real-world mathematics. This article focuses on the potential barrier to success that students may encounter because of the words, and subsequent contexts, in which the mathematics is embedded. Eight strategies for teachers include: (1) Remember the importance of teaching vocabulary in each mathematics...

Topics: ERIC Archive, Elementary School Students, Content Area Reading, Word Problems (Mathematics),...

This research investigated the impact of personalizing mathematical word problems using individual student interests on student problem-solving performance. Ten word problems were selected randomly from a mathematics textbook to create a series of two assessments. Both assessments contained problems exactly as they appeared in the textbook and problems that were personalized using student interests based on student-completed interest inventories. Fourth-grade students' scores on the...

Topics: ERIC Archive, Student Problems, Textbooks, Student Interests, Interest Inventories, Reading...

As part of an effort to improve community college algebra students' ability to solve word problems, a study was undertaken at Florida's Manatee Community College to determine the effects of using heuristic instruction (i.e., providing general rules for solving different types of math problems) in combination with the TI-92 calculator. The TI-92 combines the capabilities of a computer algebra system, which has shown potential in improving students' problem solving ability, and the portability of...

Topics: ERIC Archive, Algebra, Calculators, College Mathematics, Community Colleges, Comparative Analysis,...

Based on suggestions of participants at the second annual Instructional Methods Forum held in June 1989, the monograph considers cognitive-based approaches to teaching mathematics to students with learning problems. It addresses identification of characteristics of successful cognitive approaches and the role of media and materials. An introductory chapter looks at possible reasons for United States students' difficulties with mathematics and proposes that cognitive-based approaches be used....

Topics: ERIC Archive, Cognitive Development, Concept Formation, Curriculum Development, Educational Media,...

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of millwright contain a lesson that deals with reading charts and tables. The lesson consists of an objective, instruction, and 10 exercises. Three types of problems are provided in each exercise: "try it,""apply it," and "go with it." The objective for the lesson is for the student to learn to locate and supply information from a table....

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Basic Skills, Behavioral Objectives, Charts,...

Research documents an income-based achievement gap in mathematics, yet children from lower-income backgrounds do not lag behind their more advantaged peers in high-level social reasoning tasks. The purpose here was to investigate whether modifying mathematics word problems to make them more socially based would impact the mathematics performance and/or mathematics self-efficacy of lower- versus higher-income children. Research questions regarding (1) the relative difficulty of symbolic...

Topics: ERIC Archive, Socioeconomic Status, Socioeconomic Influences, Problem Solving, Mathematics Skills,...

This paper reports on the potential roles and importance of electrooculography (EOG) for mathematics educational neuroscience research. EOG enables accurate measurements of eye-related behavior (i.e., blinks & movements) by recording changes in voltage potentials generated by eye-related behavior. We identify and discuss three main uses of EOG. First, EOG provides insights into cognitive function. Secondly, it is used to attenuate eye-related artifacts in electroencephalography (EEG)....

Topics: ERIC Archive, Educational Research, Eye Movements, Documentation, Mathematics Education,...

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Suggested Level: LP (Lower Primary)

Topics: Word problems (Mathematics), Addition, Addition--Study and teaching (Primary), MAT, MAT.LP

It is generally considered that diagram use aids efficacy of math word problem solving. While understanding diagrams is considered important in both New Zealand and Japanese secondary schools, there is an additional emphasis in New Zealand schools for students to appreciate their use as tools for problem solving and communication. This study examined whether there are actual differences in the amount and quality of diagrams that students in New Zealand and Japan use when given math word...

Topics: ERIC Archive, Foreign Countries, Problem Solving, Word Problems (Mathematics), Secondary School...

Although current categories of learning disabilities include as specific disabilities calculation and mathematical problem solving [see IDEA reauthorization, 2004, Sec. 300.8(c)(10)], the majority of research focuses on calculation disabilities. Previous studies have shown, however, that deficits in word problem solving difficulties are persistent across the elementary school years even when calculation and reading skills are in the normal achievement range (Swanson et al., 2008). Previous...

Topics: ERIC Archive, Sentences, Intervention, Learning Disabilities, Problem Solving, Short Term Memory,...

"Bars, Lines, & Pies" is a dynamic math program designed to build graphing skills in students, while also showing them the relevance of math in their lives. Developed by The Actuarial Foundation along with Scholastic, the graphing lessons and activities involve engaging, real-world examples about the environment and recycling. In these lessons, students will create, apply, and analyze pie charts, bar graphs, and line graphs.

Topics: ERIC Archive, Graphs, Grade 4, Grade 5, Grade 6, Mathematics Instruction, Mathematics Skills,...

A goal of this study was to examine elementary preservice teachers' (PSTs) ability to contextualize and decontextualize fraction subtraction by asking them to write word problems to represent fraction subtraction expressions and to choose prewritten word problems to support given fraction subtraction expressions. Three themes emerged from the data: (a) subtraction problems were represented by an incorrect redefinition of the whole; (b) the type of unit chosen for the whole (e.g. cups, gallons,...

Topics: ERIC Archive, Elementary School Teachers, Preservice Teachers, Mathematical Concepts, Subtraction,...

This module is the eighth in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include comparison of numbers, pure numbers, denominate numbers, ratios, rates, proportions, and word problems. (YLB)

Topics: ERIC Archive, Arithmetic, Community Colleges, Individualized Instruction, Learning Modules,...

This module is the fifth in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator multiplication of decimals, multiplication of measurements, significant digits, and accuracy of a measurement. (YLB)

Topics: ERIC Archive, Arithmetic, Calculators, Community Colleges, Decimal Fractions, Individualized...

This module is the sixth in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include calculator division, mixed number fractions, division of measurements, fraction to decimal conversion, rules of accuracy, and word problems. (YLB)

Topics: ERIC Archive, Arithmetic, Calculators, Community Colleges, Decimal Fractions, Division,...

This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study abstractor's comments also provide a brief critique. Topics include: planning problem solving instruction; word problem difficulty; cognitive levels; the development of function concepts; proportion problems; counting skills; problem...

Topics: ERIC Archive, Arithmetic, Assignments, Cognitive Ability, Computation, Educational Research,...

This paper reports the latest in a series of studies investigating children's performance in solving division story problems involving remainders. One aspect of the work involved examining the way in which "sense-making" is involved in the interpretation of the numerical solution obtained. Subjects were 195 sixth, seventh, and eighth grade students from a large urban middle school, with a student population of approximately 40% Caucasian and 60% African-American students of all...

Topics: ERIC Archive, Cognitive Processes, Division, Intermediate Grades, Junior High Schools, Learning...

Potential gender-related differences in the process of mathematical word problem solving were investigated. Sixth and eighth graders (n=302) solved 2-step mathematical word problems using a 9-step problem solving plan. The nine steps were: (1) identify the facts; (2) identify the question; (3) draw a diagram; (4) choose the operations; (5) write an open sentence; (6) estimate the answer; (7) compute the answer; (8) state the answer; and (9) validate the answer. A 2 x 2 between-subjects...

Topics: ERIC Archive, Age Differences, Analysis of Variance, Elementary School Students, Estimation...

The focus of this report is children's construction and analogical transfer of mathematical knowledge during novel problem solving, as reflected in their strategies for dealing with isomorphic combinatorial problems presented in "hands-on" and written form. Case studies of 9-year-olds, one low and one high achieving in school mathematics, serve to illustrate a general progression through three identified stages of strategy construction (non-planning stage, transitional stage, and...

Topics: ERIC Archive, Academic Achievement, Analogy, Case Studies, Cognitive Development, Cognitive Style,...

This paper discusses the use of process writing to assist middle and junior high school students in becoming competent, confident mathematical problem solvers and communicators. The process writing technique involves students in four recursive, overlapping stages in writing: rehearsing, drafting, responding, and revising. Students utilize this technique in daily writers' workshops to produce a class book of creative, meaningful math problems. This method of instruction not only helps students...

Topics: ERIC Archive, Classroom Techniques, Communication Skills, Elementary School Students, Integrated...

The comprehension processes of adult students solving two-step problems of comparison were studied using eye-movement experiments based on the assumption that eye fixations are synchronous with internal cognitive processes. Twenty university students each solved 24 two-step mathematical word problems of three sentences each with consistent language (CL) or inconsistent language (IL) structures. In CL problems, the unknown variable was the subject of the second sentence; in IL, the unknown was...

Topics: ERIC Archive, Adults, Cognitive Processes, College Students, Comparative Analysis, Comprehension,...

Recent research suggests that many middle school students approach mathematical story problems with strategies that are not based on possible meanings for the operations, yielding success for one-step problems, but providing a weak background for approaching algebra story problems. This document reports the findings and the materials developed by a National Science Foundation (NSF) funded project to supplement textbook offerings and to give a greater emphasis to meanings for the operations. The...

Topics: ERIC Archive, Addition, Cognitive Development, Cognitive Processes, Curriculum Development,...

A practicum addressed the inability of fourth-grade students to successfully solve mathematics word problems due to poor comprehension of and negative attitude toward problem solving. A problem solving improvement program designed primarily around the writing process used in language arts instruction was implemented. The steps of this process include pre-writing, writing, conference, revision, and publication. A student-created mathematics game was an end product of the program. Direct...

Topics: ERIC Archive, Attitude Change, Elementary School Mathematics, Grade 4, Intermediate Grades,...

This paper discusses a study that explored the mental models of fifth (n=35) and sixth (n=49) graders attending two urban public elementary schools in South Korea in word problem solving. Two levels of mental models (problem model and mathematical model) constructed in the process of word problem solving were investigated. Coding categories for both problem and mathematical models were developed to be used in think-aloud protocol analysis. Results indicate that the majority of students who...

Topics: ERIC Archive, Arithmetic, Cognitive Style, Elementary School Students, Foreign Countries, Grade 5,...

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the area of electrical and instrumentation contain a lesson that deals with problem solving using charts and tables. The lesson consists of an objective, instruction, and 10 exercises. The objective for the lesson is for the student to learn to solve problems with charts and tables. The problems found in the 10 exercises accompany the tables in a companion manual, "Reading Charts and...

Topics: ERIC Archive, Adult Basic Education, Adult Literacy, Basic Skills, Behavioral Objectives, Charts,...

This manual is used with MATHBOXES, a computer program written for Apple II microcomputers to help children relate formal mathematical symbols for representing simple word problems to the informal strategies using physical objects that they naturally use to solve them. There is a substantial body of research that documents that young children are capable of solving a variety of simple addition and subtraction word problems by directly representing the action or relationships in the problems...

Topics: ERIC Archive, Addition, Computer Software, Elementary Education, Elementary School Mathematics,...

This cross-sectional study investigated the problem-solving strategies used by schooled and unschooled Nigerian children to solve simple addition and subtraction problems. The purpose of the study was to: (1) verify with Nigerian children, models of the knowledge and strategies underlying children's solutions to simple word problems; (2) test the influence of children's native language on mathematics performance; and (3) investigate the effects that schooling has on children's solutions of...

Topics: ERIC Archive, Addition, Cognitive Processes, Elementary Education, Elementary School Mathematics,...

This study investigated the effect of a personalised print-based instruction versus a non-personalised print-based instruction on the attitudes toward mathematics word problems of 350 senior secondary school year one Nigerian students within the blueprint of a quantitative research of pre-treatment-intervention-post-treatment non-equivalent control group quasi-experimental design with a survey design of an ex-post facto type. The Attitudes toward Mathematics Word Problem Inventory (ATMWPI) and...

Topics: ERIC Archive, Foreign Countries, Teaching Methods, Student Attitudes, Secondary School Students,...

This article aims to describe the transition process from procedural understanding to conceptual understanding in solving mathematical problems. Subjects in this study were three students from 20 fifth grade students of SDN 01 Sumberberas Banyuwangi selected based on the results of the students' answers. The transition process from procedural to conceptually based on three aspects: (1) identify problems in the use of an algorithm, (2) the process algorithm, (3) connect multiple concepts to...

Topics: ERIC Archive, Problem Solving, Mathematics Skills, Mathematics Instruction, Grade 5, Foreign...

This paper explored the authors' concerns about students enrolled in their introductory accounting course. Anecdotal evidence suggested that students struggle with basic arithmetic concepts that underlie basic business transactions even though their math placement and ACT scores are high. A survey of 125 students in a first accounting course was conducted in the spring of 2010 to assess the basic arithmetical skills. The results indicated that the ACT scores and math placement tests do not...

Topics: ERIC Archive, Accounting, Business Administration Education, Skill Development, Arithmetic,...

1,112
1.1K

Mar 4, 2013
03/13

by
NY Department of Education

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Test your fraction skills with these story problems. Suggested Level: UP (Upper Primary)

Topics: Fractions, Fractions--Study and teaching (Primary), Word problems (Mathematics), MAT, MAT.UP

Mathematics word-problems continue to be an insurmountable challenge for many middle school students. Educators have used pictorial and schematic illustrations within the classroom to help students visualize these problems. However, the data shows that pictorial representations can be more harmful than helpful in that they only display objects or persons while neglecting the spatial relationships between those components (Hegarty & Kozhevnikov, p. 686). Research supports schematic diagrams...

Topics: ERIC Archive, Middle School Students, Secondary School Mathematics, Word Problems (Mathematics),...

This article describes activities in which students deepen their relational understanding of the equals sign through exploring inequalities in a competitive dice game, built around the familiar fairy-tale "The Three Little Pigs" and "The Big Bad Wolf." The activity can be adapted to different abilities by choosing more or less challenging dice combinations. The two follow-up investigations, based on the story "Who Sank the Boat?," are intended to consolidate...

Topics: ERIC Archive, Picture Books, Teaching Methods, Class Activities, Mathematics Education, Mathematics...

This article combines different conceptualizations of teachers' diagnostic competence in listening to students' mathematical thinking processes on the levels of general perspectives, noticed aspects and activated didactic categories. An empirical study of 159 prospective mathematics teachers' diagnostic judgments investigated how these levels are related and how they can be enhanced by focus question and an intervention introducing relevant categories. For this purpose 2 x 159 written...

Topics: ERIC Archive, Mathematics Teachers, Preservice Teachers, Intervention, Video Technology, Coding,...

The present study investigated 90 elementary teachers' ability to identify two systematic error patterns in subtraction and then prescribe an instructional focus. Presented with two sets of 20 completed subtraction problems comprised of basic facts, computation, and word problems representative of two students' math performance, participants were asked to examine each incorrect subtraction problem and describe the errors. Participants were subsequently asked which type of error they would...

Topics: ERIC Archive, Misconceptions, Word Problems (Mathematics), Subtraction, Mathematics Achievement,...

The roles of cognition and metacognition were examined in the mathematical problem-solving behaviors of students as they worked in small groups. As an outcome, a framework that links the literature of cognitive science and mathematical problem solving was developed for protocol analysis of mathematical problem solving. Within this framework, each behavior is categorized by heuristic episode and cognitive level. Data were obtained from videotapes of six small groups of seventh-grade students...

Topics: ERIC Archive, Cognitive Processes, Educational Assessment, Grade 7, Group Behavior, Heuristics,...

This booklet is a teacher's guide for a lesson, appropriate for grades 3-9, to strengthen students' mathematics skills while increasing their knowledge of energy. It consists of a game in which teams of students solve mathematics problems about energy units. The booklet contains 24 challenging mathematics word problems and 1 mega-question. (MKR)

Topics: ERIC Archive, Educational Games, Elementary Secondary Education, Energy, Lesson Plans, Number...