The intent of this concurrent mixed method study was to examine teacher perceptions and student applications of cognitive reading comprehension strategy use as applied to the reading and interpretation of a mathematics word problem. Teachers’ perceptions of the relevance and application of cognitive reading comprehension strategies to mathematics contexts were investigated through survey methods. Additionally, students’ cognitive strategy use was explored by eliciting verbalization of cognition using think aloud protocol and clinical interview probes with purposively selected first through sixth-grade students. An experimental component of this study involved the random assignment of teachers to a professional development book study focused on either a) instructional methods supportive of integrated cognitive strategy instruction in reading and mathematics (treatment group) or b) a review of cognitive strategy instruction in reading (control group). The results of this study indicate that the elementary student participants did not recognize the cognitive comprehension strategies that they were using during the initial reading of the mathematical text as relevant to mathematics based text, which is why initial patterns of strategy use were not sustained or renegotiated, but were instead replaced or extinguished without replacement upon identification of the text as mathematical. This may be due to a lack of: 1) domain-general instruction, 2) varied text examples in their schooling, and/or 3) conditional knowledge instruction for strategy use, effects that may be caused by the students’ teachers’ own domain-specific perceptions of cognitive strategy use at the elementary level. The teachers in the treatment group demonstrated greater awareness of the relevance of cognitive reading comprehension strategies for mathematics text than the control group; however, there was no evidence that this new awareness impacted their instruction in this study. Implications for iv professional development, integrated cognitive strategy instruction, and contributions to existing literature are discussed.

This multiple case study investigated pedagogical differences and similarities among practices used to teach word problems in private schools of Turkey and the United States, the factors impacting teachers’ instructional decisions, and their approaches to teaching word problems as well as the role of culture in teaching and learning word problems. Quantitative survey data were collected from 28 Turkish and 27 U.S. high school mathematics teachers from private or independent schools. The survey investigated teachers’ background information, resources used, and their use of teaching practices (teacher-centered, student-centered, concrete-visualizing, analytical) and types of word problems (true or practice-oriented) as well as their thoughts about the structure of word problems. Qualitative data were collected through classroom observations, videotaping, and focus-group interviews from four ninth grade algebra teachers in Turkey and the United States. Qualitative data helped the researcher expand upon the quantitative findings and examine how word problems actually were being taught in the classroom, the factors impacting teachers’ instruction and approaches to teaching word problems, and participants’ reflections on their own practices as well as on their international partners’ word problems instruction. The findings indicated no significant difference for most survey items, but descriptive statistical analysis revealed that Turkish survey participants incorporated teacher-centered, concrete-visualizing practices, and practice-oriented word problems more often in their instruction, while U.S. survey participants frequently used student centered, concrete-visualizing practices, and true problems. Qualitative findings pointed out what specific teaching practices were evident in the classrooms observed and videotaped in Turkey and the United States. While Turkish teachers thought the university entrance examination and national curriculum had the biggest impact on their teaching, U.S. teachers found school environment (traditional versus progressive) and student perception of word problems as influential on their instruction. The role of culture on teaching and learning word problems was observed in regard to teacher centered versus student-centered instruction, teacher versus student role, and student engagement. Study findings also indicated that cross-examination of teaching promotes teachers’ reflection on their own practices and, thus, should be encouraged and promoted across STEM disciplines and throughout a teaching career. Implications and recommendations for future research, curriculum developers, and mathematics teachers are discussed. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2014. / FAU Electronic Theses and Dissertations Collection

This study concentrated on word problems in Grades Kindergarten-3 and the application of the Standards for Mathematical Practice and the Content Standards. The study also included an analysis of focus, coherence, and rigor in the materials. The textbooks used were among the first editions to be published after the acceptance of the Common Core State Standards in more than 40 states. The study analyzed the presence of the Common Core Standards in each series and how the three textbook series compared to each other in their word problem solving. The correlation of materials in the three textbook series relied on publishers’ descriptions in the Lesson Openers where the usages of the Standards for Mathematical Practice and the Content Standards and the principles of focus, coherence, and rigor are listed. The publishers’ descriptions were analyzed and compared to the individual evaluation criteria. Using an evaluation criterion, the study examined how Standards for Mathematical Practice were implemented in the textbooks. With the exception of a few grades in two textbook series, the texts displayed low percentages in their adherence to the Standards. The textbook series were similar in their development of word problems labeled with Standards for Mathematical Practice and word problems not labeled with the Standards. In this comparison, the only difference between the two types of word problems was in the verbiage. The Content Standards were used to determine the textbook series alignment with the Standards. The three textbook series showed low implementation of word problem Content Standards when compared to the total number of Standards. In two series, only one Content Standard was listed multiple times rather than a combination of comparable Standards. Relying on the publishers’ descriptions, the study showed how publishers implemented focus, coherence, and rigor in their materials. Of the three publishers, one publisher did not list coherence and rigor in its materials. The other two publishers adhered to focus and coherence in most or all of their materials. All of the publishers fell short in the application of rigor in their textbook series.

The purpose of this study was to investigate solution strategies that Thai second graders used to solve addition and subtraction word problems. Fifty-eight children participated in this study, 40 children took a written test, and 18 children participated in an interview. In addition, two classrooms were selected for observation, and six second-grade teachers completed a questionnaire regarding their understanding of mathematical problem solving. The results indicated that Thai children in this study were successful in solving addition and subtraction word problems. For addition word problems, the compare problem and the join problem were the easiest problems. The combine problem was moderately difficult. For subtraction word problems, the compare problem and the separate problem were easy while the combine problem was difficult. The join problem was the most difficult subtraction word problem. Since word problems used in this study contained mostly two-digit numbers, Thai children in this study used knowledge such as borrowing, carrying and regrouping to solve two-digit addition and subtraction word problems. Most Thai children in this study used counting strategies with fingers to solve both addition and subtraction word problems. Counting on strategies were most often used for addition word problems and counting up strategies were most often used for subtraction word problems. Counting all strategies were not used by Thai children in this study. Other strategies that were not based on counting strategies were also found. Those strategies were using tallies, using a known number fact, using an invented fingers model, and using a base-ten strategy. The strategies that Thai children used to solve word problems were not different from those used by children in United States and other countries such as Korea. Most children used three basic strategies to solve word problems: counting strategies; using a known number fact; and using a base-ten strategy. However, the base-ten strategy was not usually used by children in United States. The base-ten strategy was used by Thai children in this study and in Asia countries such as Korea. Moreover, the findings showed that Thai children in this study used mostly fingers to represent counting sequences while children in the United States used other physical objects such as cubes and counters. In observing Thai classroom instruction and having Thai teachers complete the questionnaire, the results suggested that Thai teachers in this study viewed problems as routine word problems and viewed problem solving as solving routine word problems. Teachers did not emphasize problem solving, reasoning, and thinking skills. As a result, children developed memorizing skills rather than thinking and reasoning skills. Children had never explored different types of word problems and non-routine problems, so when the children were faced with problems that differed from their school mathematics instruction, for the most part, children were unable to solve the problems. / Graduation date: 1999

Thesis (Ph. D.)--University of Washington, 2003. / Vita. Includes bibliographical references (leaves 88-93).

This project investigates primary 4 children's difficulties when solving word problems. It consists of an exploratory study examining the feasibility of using task-based interviews in the school setting; and a main study divided into three phases. The tasks set to the children are selected/adapted word problems from SPNG textbook Stage 2. Phase 1 investigates the difficulties of forty "average" primary 4 children from five different schools. Task-based interviews are used in conjunction with an error analysis. Phase 2 makes structural alterations to six of the most difficult Phase 1 word problems to investigate more closely the possible cause of difficulty. These altered word problems are re-presented to the Phase 1 sample. The original problems are not re-presented to this sample as the task-based interviews allowed for considerable practice of these original problems. Phase 3 took place a year later than Phase 2 and presents the structurally altered word problems alongside the original problems to a different, but similar sample. This sample consists of 126 children from the five schools participating during Phase 1/2. It is suggested that the findings do not support the view that a small unvarying number of variables consistently affect problem difficulty. Rather the sources of difficulty are likely to stem from a number of highly complex interacting sources; and the language itself need not be the block it sometimes appears to be. Informal strategies were evidently important for a significant minority of children, particularly in relation to subtraction problems. This seems well worth investigating further. The use of these strategies suggested that the language of the word problem could be understood when the child could link it to his/her informal strategies. Also, given simpler numbers, the semantic implications of the problem could often be mastered.

Thesis (M.S.)--Kutztown University, 1988. / Source: Masters Abstracts International, Volume: 45-06, page: 2811. Abstract precedes title page. Includes bibliographical references (leaves 71-78).

Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.

Thesis (Ph. D.)--University of California, San Diego, 2006. / Title from first page of PDF file (viewed September 21, 2006). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 86-90).

This research sought to investigate the problems experienced in the interpretation of word problems by senior secondary school learners, in particular to see how the language used in the articulation of word problems affects the interpretation. The study was conducted in a school in the Oshikoto region of Namibia, a school located in a semi-rural area of Namibia, and selected owing to the accessibility of the required participants. The research was located within an interpretive paradigm focusing on a study sample of 40 learners from a specified class in the selected school. Data were collected through written tests and a semi-structured interview based on written tests, and a comprehensive descriptive analysis of test results was prepared. The findings of the study indicate that the language in which the word problem was articulated did not make a difference. The performance in both English and Oshindonga tests was almost the same. The findings also indicate that vocabulary, syntactic interpretation, semantic relationships, algebraic skills, and practical sense making in relation to real-life are all important for the successful interpretation and solving of word problems. In view of these findings, the study has provided valuable insights into aspects of the teacher education curriculum that need to be revisited in order to improve the training of teachers In teaching word problems.