The Effect of Schema-Based Instruction in Solving Mathematics Word Problems: An Emphasis on Prealgebraic Conceptualization of Multiplicative Relations

2008 ◽  
Vol 39 (5) ◽  
pp. 526-551
Author(s):  
Yan Ping Xin
Keyword(s):  
Elementary Students ◽  
Word Problems ◽  
Instructional Strategy ◽  
Mathematics Learning ◽  
Functional Relation ◽  
Strategy Instruction ◽  
Algebraic Thinking ◽  
Students With Learning Disabilities ◽  
Based Instruction ◽  
Multiple Probe

The purpose of this study was to examine the effects of a schema-based instructional strategy that emphasizes prealgebraic conceptualization of multiplicative relations on solving arithmetic word problems with elementary students with learning disabilities or problems (LP). Participants were 4 fifth graders with LP in a Midwestern urban public elementary school. An adapted multiple-probe-across-participants design was employed to assess the functional relation between the schema-based instructional strategy instruction and students' performance while solving word problems. The results of the study demonstrated the effectiveness of the schema-based instructional strategy with elementary students with LP. Introducing symbolic representation and algebraic thinking in earlier grades may facilitate a smoother transition from elementary to higher level mathematics learning and improve middle and high school mathematics performance.

Brief Report: Schema-Based Instruction for a Student with Emotional and Behavioral Disorder

2019 ◽  
Author(s):  
Brittany L. Hott ◽  
Corey Peltier ◽  
Meagann Palacios
Keyword(s):  
Problem Solving ◽  
Word Problem ◽  
Word Problems ◽  
Functional Relation ◽  
Behavioral Disorder ◽  
Future Research ◽  
Word Problem Solving ◽  
Post Test ◽  
Based Instruction ◽  
Multiple Probe

Students with emotional and behavioral disorders (EBD) attending rural and remote schools are underserved and under researched. Schema-based instruction (SBI) was used to teach a third grader with EBD to solve three types of word problems. A multiple-baseline, multiple probe across problem types design was used to evaluate the relation between SBI and word problem solving accuracy. Results suggest a functional relation between SBI and group, compare, and change word problem solving. Further, the student increased his pre to post test score from 10% to 100% and was able to maintain mathematics skills and generalize to science word problems. Implications for practice and future research directions are reported.

Schema-Based Instruction Implemented Under Routine Conditions

2019 ◽  
Author(s):  
Corey Peltier ◽  
Mindy E Lingo ◽  
Faye Autry-Schreffler ◽  
Malarie Deardorff ◽  
Leslie Mathews ◽  
...  
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Mathematical Problem ◽  
Functional Relation ◽  
Probe Design ◽  
Resource Room ◽  
Group Settings ◽  
Intervention Protocol ◽  
Prior Literature ◽  
Based Instruction

Students identified with a specific learning disability (SLD) experience difficulty with mathematical problem solving. One specific intervention identified as a promising practice for students with a SLD is schema-based instruction (SBI). The current projects aimed to tests the efficacy of SBI under routine conditions. This extends prior literature by (a) using a teacher as the implementer, (b) allowing flexibility in the intervention protocol, (c) condensing the duration of intervention sessions, and (d) providing instruction in small group settings. In addition, we examined student problem solving performance on word problems requiring two-steps and combined schema structures. We used a multiple-probe design across three groups of fifth-grade participants (n = 7) receiving supplemental instruction in a resource room setting. Results indicated a functional relation between SBI and problem-solving performance for all students on simple structure word problems, with the magnitude of effects varying across cases. The NAP, Tau, and BC-SMD effect sizes were used to quantify effects. Implications were discussed in regard to systematic replication and conditions that may impact fidelity.

Teaching Personal Finance Mathematical Problem Solving to Individuals With Moderate Intellectual Disability

2016 ◽  
Vol 40 (1) ◽  
pp. 5-14 ◽  
Author(s):  
Jenny Root ◽  
Alicia Saunders ◽  
Fred Spooner ◽  
Chelsi Brosh
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Functional Relation ◽  
Personal Finance ◽  
Future Research ◽  
School Students ◽  
Problem Solving Skills ◽  
Mathematical Problems ◽  
Based Instruction ◽  
Multiple Probe

The ability to solve mathematical problems related to purchasing and personal finance is important in promoting skill generalization and increasing independence for individuals with moderate intellectual disabilities (IDs). Using a multiple probe across participant design, this study investigated the effects of modified schema-based instruction (MSBI) on personal finance problem solving skills, purchasing an item on sale or leaving a tip, and using a calculator or iDevice (i.e., iPhone or iPad) for three middle school students diagnosed with a moderate ID. The results showed a functional relation between MSBI using a calculator on the participant’s ability to solve addition and subtraction personal finance word problems and generalize to iDevices. The findings of this study provide several implications for practice and offer suggestions for future research.

Effects of Schema-Based Instruction on Immediate, Generalized, and Combined Structured Word Problems

2019 ◽  
Vol 54 (2) ◽  
pp. 101-112
Author(s):  
Corey Peltier ◽  
Tracy E. Sinclair ◽  
Joshua M. Pulos ◽  
Andrea Suk
Keyword(s):  
Student Performance ◽  
Word Problems ◽  
Evidence Based Practice ◽  
Functional Relation ◽  
Probe Design ◽  
Evidence Based ◽  
Intervention Package ◽  
Resource Room ◽  
Improved Performance ◽  
Based Instruction

Instruction targeting the underlying math problem structure is identified as an evidence-based practice for students with a specific learning disability (SLD). Furthermore, schema-based instruction is identified as a potentially evidence-based practice for students with a SLD. This study extended prior work by (a) using a teacher as the implementer, (b) evaluating the efficacy of an adaptable intervention, and (c) evaluating student performance on generalized and combined schema structure problems. The participants included 12 fourth- and fifth-grade students with a disability and receiving supplemental mathematics instruction in a resource room setting. The intervention package consisted of a problem-solving mnemonic and schema-based instruction for mathematics. A multiple-probe design across participant groups was used to establish a functional relation. Students improved performance on word problems representing simple, generalized, and combined schema structures. The aggregated Tau-U effect size (ES) for this study was 95% (CI90 [83%, 100%]) and the aggregated between-case standardized mean difference (BC-SMD) was 3.05 (CI95 [2.54, 3.60]).

Interactive Storybook Reading Instruction for Preschoolers Who Are Deaf and Hard of Hearing: A Multiple Probe Across Behaviors Analysis

2018 ◽  
Vol 49 (4) ◽  
pp. 922-937 ◽  
Author(s):  
Jessica W. Trussell ◽  
Janna Hasko ◽  
Joy Kane ◽  
Brittany Amari ◽  
Alison Brusehaber
Keyword(s):  
Hard Of Hearing ◽  
Instructional Strategy ◽  
Service Providers ◽  
Single Case ◽  
Word Meaning ◽  
Functional Relation ◽  
Vocabulary Knowledge ◽  
Storybook Reading ◽  
Spoken English ◽  
Multiple Probe

Purpose Interactive storybook reading (ISR) improves the picture labeling vocabulary of children who are deaf and hard of hearing (DHH). Vocabulary knowledge consistently predicts the later reading achievement of children who are DHH. In this study, ISR was modified to include teaching word meanings along with the vocabulary picture label. Method A multiple probe across behaviors single-case experimental design was implemented to determine the effects of ISR with word meaning instruction on picture labeling and word meaning knowledge of 6 preschoolers who are DHH and use spoken English. The student and teacher participants engaged in ISR for 15–20 min a day, 4 days a week for 3 weeks. Results A functional relation was established between ISR and the increase in the preschoolers' word labeling and meaning knowledge. The preschoolers' word knowledge was generalized and was maintained over time. Conclusions ISR may be an effective vocabulary labeling and word meaning instructional strategy for young children who are DHH and use spoken English. Teachers and related service providers who work with this population may want to implement ISR with word meaning in 1-to-1 or small groups to individualize the target vocabulary and maximize the benefit. Future researchers should replicate this to expand its generalizability to other subpopulations of children who are DHH.

scholarly journals Using the Concrete–Representational–Abstract Sequence to Teach Conceptual Understanding of Basic Multiplication and Division

2018 ◽  
Vol 42 (1) ◽  
pp. 32-45 ◽  
Author(s):  
Jessica H. Milton ◽  
Margaret M. Flores ◽  
Alexcia J. Moore ◽  
Ja’Lia J. Taylor ◽  
Megan E. Burton
Keyword(s):  
Conceptual Understanding ◽  
Functional Relation ◽  
Sixth Grade ◽  
Students With Learning Disabilities ◽  
School Students ◽  
Mathematics Standards ◽  
Multiplication Facts ◽  
Sixth Grade Students ◽  
Mixed Method Design ◽  
Multiple Probe

To meet increasingly complex mathematics standards in late elementary school, students must conceptually understand and be fluent in the operations of multiplication and division. This includes understanding the operations’ inverse relation. The purpose of the study was to investigate the effects of alternating concrete–representational–abstract (CRA) multiplication and division instruction on students’ mastery of unknown facts and on their conceptual understanding. Fourth through sixth-grade students with learning disabilities who had failed to master all multiplication facts participated in the study. The researchers used a mixed method design, measuring accuracy and fluency of facts with a multiple probe across students design and qualitative methods to capture changes in students’ explanations of their computation. The researchers demonstrated a functional relation between CRA instruction and accuracy and fluency in multiplication and division. Qualitative results indicated differences in students’ understanding of the operations. Implications of the results will be discussed further.

Preparing Interns to Use Functional Story-Based Instruction to Teach Students With a Severe Intellectual Disability in Rural Schools

2019 ◽  
Vol 38 (4) ◽  
pp. 217-230
Author(s):  
Glenda Hyer ◽  
Karena Cooper-Duffy
Keyword(s):  
Special Education ◽  
Intellectual Disability ◽  
Elementary Students ◽  
Emergent Literacy ◽  
Rural Schools ◽  
Hand Washing ◽  
Severe Intellectual Disability ◽  
Secondary Purpose ◽  
Based Instruction ◽  
Multiple Probe

The primary purpose of this study was to prepare special education interns to implement two-task analyses to teach elementary students with severe intellectual disability (SID) emergent literacy and hand washing skills. The secondary purpose was to evaluate the effect of intern instruction on both the independent emergent literacy and hand washing responses of the students. A multiple probe across participant design was used to evaluate the effects of a multicomponent instruction package on the number of steps interns completed correctly on story-based and hand washing task analyses. A second simultaneous multiple probe across students design was used to evaluate the effects of functional story-based instruction on the independent emergent literacy and hand washing responses. Collateral behaviors showed as interns correctly implemented the steps of the story-based and hand washing task analyses, the students with SID increased emergent literacy and hand washing responses. Implications for rural educators are provided.

Improving the Compositions of Students with Learning Disabilities Using a Strategy Involving Product and Process Goal Setting

1992 ◽  
Vol 58 (4) ◽  
pp. 322-334 ◽  
Author(s):  
Steve Graham ◽  
Charles Macarthur ◽  
Shirley Schwartz ◽  
Victoria Page-Voth
Keyword(s):  
Learning Disabilities ◽  
Goal Attainment ◽  
Strategy Instruction ◽  
Probe Design ◽  
Students With Learning Disabilities ◽  
Essay Writing ◽  
Writing Strategy ◽  
Product And Process ◽  
Multiple Probe ◽  
Positive Effect

This study was conducted to determine if a planning and writing strategy would improve the essay writing of students with learning disabilities. Four participants were taught a strategy designed to facilitate the setting of product and process goals, generation and organization of notes, continued planning during writing, and evaluation of goal attainment. Training effects were investigated using a multiple probe design across subjects. Strategy instruction had a positive effect on students' essay writing performance and knowledge of the writing process, and effects were maintained over time.

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