scholarly journals When does the story matter? No evidence for the foregrounding hypothesis in math story problems

2021 ◽  
Vol 7 (3) ◽  
pp. 259-274 ◽  
Author(s):  
Sabrina M. Di Lonardo Burr ◽  
Jill Turner ◽  
Jesse Nietmann ◽  
Jo-Anne LeFevre

Math story problems are difficult for many solvers because comprehension of mathematical and linguistic content must occur simultaneously. Across two studies, we attempted to conceptually replicate and extend findings reported by Mattarella-Micke and Beilock (2010, https://doi.org/10.3758/PBR.17.1.106) and Jarosz and Jaeger (2019, https://doi.org/10.1002/acp.3471). Mattarella-Micke and Beilock found that multiplication word problems in which an irrelevant number was associated with the protagonist of the problem (i.e., foregrounded in the text) were solved less accurately than problems in other conditions. Jarosz and Jaeger used similar materials but tested the more general inconsistent-operations hypothesis that association with the protagonist would interfere with multiplication whereas dissociation would interfere with division. They found partial support: When division problems were primed with dissociative scenarios, solvers made more errors, but they failed to replicate the associative findings for multiplication. In the present research, we conducted two studies (Ns = 205 and 359), in which we similarly manipulated whether irrelevant content was associated with or dissociated from the story protagonist. In these studies, we did not find support for either the foregrounding or inconsistent-operations hypotheses. Exploratory error analyses suggested that solvers’ errors were most often the result of calculation difficulties or inappropriate operation choices and were unrelated to the presence of associative or dissociative story elements. Our careful implementation of this manipulation and much greater power to detect effects suggests that the association manipulation in irrelevant text does not influence adults’ performance on simple math story problems.

1957 ◽  
Vol 4 (3) ◽  
pp. 125-128
Author(s):  
Edna Wisely

Problems—story problems—experience problems—sentence problems—word problems are all used to designate a situation in which children must read and then decide which process or processes are to be utilized in arriving at the solution of the question proposed. To the adult this seems a relatively uncomplicated matter especially if he does not recall clearly his own school days. Unfortunately many children approach problem solving in a state of bewilderment induced by fear and failure. Here are no neat little sign or directive words to offer security to the agile manipulator of number. The child is truly confronted by “problems” not the single problem which is stated. His problems often are: Do I add? Subtract? Multiply? Divide?


2021 ◽  
Vol 9 (2) ◽  
Author(s):  
Hesti Hidayati ◽  
Tri Saptuti Susiani ◽  
Wahyudi Wahyudi

<p><span class="s14"><span class="s10">The study aimed to describe the difficulties in solving math word problems a</span><a name="_GoBack"></a><span class="s10">bout statistics encountered by fourth grade students of SD Negeri Munggangsari in academic year of 2020/2021. It was qualitative research with descriptive method. The results indicated that most of the students had difficulties in solving statistics word problems. The difficulties were (a) reading errors, (b) comprehension error, (c) transformation errors, (d) process skill errors, and (e) encoding errors. The internal factors were (a) the students could not find the information in word problems, (b) the students could not read long sentences, (c) the students found difficulty how to convert data, (d) the students found difficulty to understand the problems, (f) the students did not apply steps to solve word problems, and (f) the students were inaccurate in doing word problems. The external factors were (a) the teacher had limited word problem practices, (b) the teacher had limited learning strategy, (c) the teacher had limited learning models, and (d) the teacher had limited interaction to the students.</span><span class="s10"> </span><span class="s10">It concludes that most of the students have difficulties in solving statistics word problems, there are internal and external factors affected the students. The next step is performing solutions that steps applied by the teachers and the students to decline the factors causing difficulties in solving story problems about statistics.</span></span></p><p><span class="s14">Penelitian</span><span class="s14"> ini bertujuan untuk mendespkripsikan kesulitan menyelesaikan soal cerita matematika tentang statistika yang dialami oleh siswa kelas IV SD Negeri Munggangsari tahun ajaran 2020/2021. Penelitian ini menggunakan </span><span class="s14">penelitian kualitatif dengan metode deskriptif. Hasil dari penelitian ini menunjukkan bahwa sebagian besar siswa mengalami kesulitan menyelesaikan soal cerita statistika </span><span class="s14">yakni</span><span class="s14">:</span><span class="s14"> </span><span class="s14">(a) </span><span class="s14">kesalahan membaca soal, </span><span class="s14">(b) </span><span class="s14">kesalahan memahami apa yang ditanyakan dalam soal,</span><span class="s14"> (c) </span><span class="s14">kesalahan transformasi,</span><span class="s14"> (d) </span><span class="s14">kesalahan dalam proses, dan </span><span class="s14">(e) </span><span class="s14">kesalahan dalam menuliskan kesimpulan.</span><span class="s14"> </span><span class="s14">T</span><span class="s14">erdapat faktor </span><span class="s14">internal</span><span class="s14">, yakni: (a) siswa tidak mampu mencari informasi yang ada pada soal, (b) siswa belum mampu membaca kalimat panjang, (c) siswa belum mampu mengubah penyajian data, (d) siswa tidak paham dengan apa yang ditanyakan dalam soal, (e) siswa tidak menerapkan langkah-langkah menyelesaikan soal cerita dengan benar dan (f) siswa kurang teliti saat mengerjakan soal, </span><span class="s14">sedangkan</span><span class="s14"> faktor </span><span class="s14">eksternal</span><span class="s14"> </span><span class="s14">yaitu: (a) guru kurang bervariasi dalam memberikan latihan soal cerita, (b) guru kurang kreatif dalam menggunakan strategi pembelajaran, (c) guru kurang inovatif dalam menggunakan model pembelajaran, dan (d) interaksi yang kurang baik antar siswa</span><span class="s14">.</span><span class="s14"> D</span><span class="s14">ari analisis yang dilakukan peneliti, disimpulkan bahwa</span><span class="s14"> sebagian besar</span><span class="s14"> </span><span class="s14">siswa kelas IV SD Negeri Munggangsari mengalami kesulitan menyelesaikan soal cerita statistika, terdapat faktor internal dan eksternal yang mempengaruhi siswa. Langkah selanjutnya </span><span class="s14">yakni memberikan alternatif solusi berupa langkah-langkah yang dapat dilakukan guru maupun siswa untuk mengurangi kesulitan siswa kelas IV SD dalam mengerjakan soal cerita statistika.</span></p>


1977 ◽  
Vol 25 (2) ◽  
pp. 54-56
Author(s):  
Robert G. Underhill

The results of five studies of addition and subt raction story problems are brieOy presented here, and then some implications for improving problemsolving skills of first-grade children are considered.


2015 ◽  
Vol 3 (4) ◽  
pp. 170
Author(s):  
Sumartono Sumartono

The purpose of this study was to determine the mistakes made and the difficulties experienced by students Autism  class V SDN Inclusion Mojo III Surabaya. Besides, the purpose of this study also want to know the causes and solution . From the analysis of the data obtained the following conclusion: The percentage of errors made autistic student class V SDN Mojo III Surabaya in solving mathematical word problems on the subject of the Commission and the FPB Based on the analysis of the test results , the proportion of students' mistakes in solving math story that is 33 , 3 % misconception , 25 % fault Procedure 41.7 % technical error . From the percentage shown that a large proportion of most errors are technical errors. The percentage of the difficulties experienced by children with autism , a class V SDN mojo III Surabaya in doing math story problems is 33.3 % of students with autism have difficulty dyslexia, 33.3 % of students with autism have difficulty dysgraphia, and 33.3 % of students with autism have difficulty dyscalculia


2014 ◽  
Vol 17 ◽  
Author(s):  
Josetxu Orrantia ◽  
David Muñez ◽  
Santiago Vicente ◽  
Lieven Verschaffel ◽  
Javier Rosales

AbstractIn three experiments, we investigated the extent to which readers process information related to the construction of a situation model when they are confronted with solving word problems. Considering that generation of inferences to match actions with particular goals is part of constructing of the situation model, we constructed “rich story problems”, that is, word problems included in the context of a story, in which the characters propose goals, and then these goals are followed by actions to achieve it. In Experiments 1 and 2 the story problems were designed so that the character’s goal was related to the activation of a problem schema, either explicitly (Experiment 1) or implicitly (Experiment 2). In Experiment 3 the problem schema activation was clearly separated from the goal information. In all three experiments, goal information availability was assessed by on-line measures. The results showed that participants processed situational information by keeping track of characters’ goals. These results fit nicely with those studies that emphasize the role of situation model construction in word problem solving.


1980 ◽  
Vol 28 (1) ◽  
pp. 8-12 ◽  
Author(s):  
Thomas P. Carpenter ◽  
Mary Kay Corbitt ◽  
Henry S. Kepner ◽  
Mary Montgomery Lindquist ◽  
Robert E. Reys

Why can't children solve story problems? Two recent articles in the Arithmetic Teacher have opened with this question (West 1977; Zweng 1979). Results from the second NAEP mathematics assessment offer no definitive answers, but they do provide some interesting insights regarding children's ability to solve verbal problems (Carpenter et al., 1980). The assessment results indicate that the commonly held view that children cannot solve word problems may be an oversimplification. ln fact children were quite successful at solving some types of simple verbal problems. Performance was reasonably good on most problems that could be solved using a single operation of addition, subtraction, multiplication, or division. However, almost every problem that could not be solved by a routine application of a single arithmetic operation caused a great deal of difficulty.


1991 ◽  
Vol 39 (3) ◽  
pp. 38-40
Author(s):  
Guershon Harel ◽  
Merlyn Behr

Prior to formal instruction, children possess considerable understanding of arithmetic and the strategies for solving basic arithmetic problems. Carpenter and Moser (1982), for example, have found that many children can successfully solve word problems that involve addition and subtraction before they receive any instruction in such problems.


1997 ◽  
Vol 28 (3) ◽  
pp. 309-330 ◽  
Author(s):  
Joanne T. Mulligan ◽  
Michael C. Mitchelmore

In this study, an intuitive model was defined as an internal mental structure corresponding to a class of calculation strategies. A sample of female students was observed 4 times during Grades 2 and 3 as they solved the same set of 24 word problems. From the correct responses, 12 distinct calculation strategies were identified and grouped into categories from which the children's intuitive models of multiplication and division were inferred. It was found that the students used 3 main intuitive models: direct counting, repeated addition, and multiplicative operation. A fourth model, repeated subtraction, only occurred in division problems. All the intuitive models were used with all semantic structures, their frequency varying as a complex interaction of age, size of numbers, language, and semantic structure. The results are interpreted as showing that children acquire an expanding repertoire of intuitive models and that the model they employ to solve any particular problem reflects the mathematical structure they impose on it.


1995 ◽  
Vol 26 (5) ◽  
pp. 467-486 ◽  
Author(s):  
Al Rudnitsky ◽  
Susan Etheredge ◽  
Sue J. M. Freeman ◽  
Therese Gilbert

The aim of this study was to design and field-test instruction intended to help students construct knowledge about addition and subtraction story problems and determine if this knowledge would transfer to actually solving problems. The study tests two related hypotheses: (a) structure-plus-writing instruction will result in improved word-problem solving, and (b) this improvement will be more enduring than that resulting from a more traditional heuristic and practice-based approach.


1989 ◽  
Vol 20 (5) ◽  
pp. 434-449
Author(s):  
Alan Bell ◽  
Brian Greer ◽  
Lindsay Grimison ◽  
Clare Mangan

Three hundred seventy-seven subjects in six age groups, ranging from 10 to 20 years, were asked to identify the appropriate operation for 24 multiplication and division problems involving price, speed, and measure conversion. For multiplication problems, difficulty was strongly dependent on the type of number in the preferred-multiplier role. Important differences from the general tendency were noted in those change-of-size and mixture problems in which both quantities were measured in the same units. Choice of operation also was affected by the misconception that multiplication makes bigger and division smaller. In division problems, choice was dominated by the numerical preference for dividing by an integer or the smaller of the two numbers; decimal points were sometimes ignored in determining this preference. MMBDS also operated, but not in all problems. In a second experiment with 42 fifteen-year-old students, half were asked to estimate answers and half to choose the correct operation for change-of-size and mixture problems. Estimating the outcome was easier than both choosing the operation for division, and multiplication by numbers less than 1. For multiplication by numbers substantially greater than 1, choosing the operation was easier.


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