An Evaluation of a Process-Oriented Instructional Program in Mathematical Problem Solving in Grades 5 and 7

1984 ◽  
Vol 15 (1) ◽  
pp. 15-34 ◽  
Author(s):  
Randall I. Charles ◽  
Frank K. Lester

This paper provides an overview of a process-oriented instructional program and reports the results of an evaluation of that program. Twelve fifth-grade and 10 seventh-grade teachers implemented the Mathematical Problem Solving program for 23 weeks. Eleven fifth-grade and 13 seventh-grade teachers taught control classes. The experimental classes scored significantly higher than the control classes on measures of ability to understand problems, plan solution st rategies, and get correct results. Trend analyses showed different student growth patterns for the three measures of problem-solving performance. Data from interviews with teachers supported the results of the quantitative analysis and suggested that both students and teachers had changed positively with respect to attitudes toward problem solving. In addition, teachers gained confidence in their ability to teach problem solving.

2020 ◽  
Vol 2 (2) ◽  
pp. 107-116
Author(s):  
Vitta Putri Lestari ◽  
Bagus Ardi Saputro ◽  
Sukamto Sukamto

Mathematical problem solving is a method used to solve knowledge and ability problems related to calculation problems, both personal problems and group problems in everyday life. This research was conducted to determine how the ability of students in solving math problems in elementary schools on discharge material using tests. This research was a type of research that uses qualitative methods with descriptive types, where each result of this analysis will be more accurately and clearly expressed about the problem-solving abilities of students in solving problems. The subjects were 5 students of fifth grade of elementary school. Data collection was carried out through questionnaires, observation, documentation, and tests of mathematical problem-solving abilities as well as interview guides. This research showed that 0% of students experience errors at the question reading stage. 20% of students indicate the error lies in understanding the problem. 16% of students indicated the location of the error in the transformation problem. 24% of students showed the location of the error in the numeracy process skills and the biggest error was writing the final answer by 80%. From this study, there were 1 student who scored below the minimum score, 4 students had exceeded the predetermined standard limit for mathematics lessons. Based on this research, it can find out the locations of the students' mistakes so that it provides instructions for the teacher where the teacher can deploy effective teaching strategies to overcome them.


2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Annisa Mutmainnah ◽  
Zetra Hainul Putra ◽  
Syahrilfuddin Syahrilfuddin

This research was aimed to find the relationship between the fifth-grade students’ number sense and mathematical problem-solving. The participants of this study were 73 fifth grade students from a private Islamic school in Pekanbaru, Indonesia. This study applied a quantitative research method, namely a simple correlation. Instruments for measuring students’ number sense consist of 5 indicators; number concepts, multiple representations, effects of operations, equivalent expressions, and computing and counting strategies. While, the instruments to measure students’ problem-solving consist of 4 domains; numbers, fractions, geometry, and measurements. The results showed that there was a significant correlation between students’ number sense and mathematical problem-solving. After that, a correlation test was also conducted between each number sense indicator and each mathematical problem-solving domain. The indicator of computing and counting strategies has the highest correlation with measurement.


Author(s):  
Meira Koponen

Mathematical problem solving has a key part in developing students’ mathematical thinking. Yet in the Finnish primary school classrooms mathematics lessons are very traditional and have little room for problem solving and mathematical discussions. Although problem solving has been a part of the Finnish curriculum for a few decades, it is the teachers who seem to choose not to include problem solving in the classroom on a regular basis. In this article I take a look at three Finnish fifth grade teachers who took part in a study on problem solving. They each incorporated problem solving in their mathematics lessons approximately once a month, and in this study I focused on one of the problems – an open problem called “The Labyrinth”. In each lesson I chose to focus on the teachers’ instruction in the reflection phase of the problem solving process. When instructing individual students in the reflection phase and during whole-classroom discussions, the teacher has an opportunity to point out the important parts of the problem solving process, help the students make connections and recall key moments of the process. In the reflection phase there is an opportunity to reflect, review and analyze one’s solutions and make generalizations. In the Labyrinth problem the teacher’s own understanding of the solution was an important factor during the instruction and the whole-classroom discussion. If the teacher’s instruction was purely led by the students’ own discoveries and insights, some important points were left unexplored. The teacher can even lead the students to the wrong direction, if he or she hasn’t carefully thought through the solution of the problem beforehand. The problem solving lesson is not just about finding a suitable problem and presenting it to the students, but guiding the students in the process.


2018 ◽  
Vol 8 (4) ◽  
pp. 310 ◽  
Author(s):  
Ni Nyoman Parwati ◽  
I Gusti Putu Sudiarta ◽  
I Made Mariawan ◽  
I Wayan Widiana

The aim of this study was to describe and to test the effect of problem solving learning model oriented toward Balinese local wisdom (PSBLW) and type of mathematics problems (open and closed problems) on the ability to solve mathematics problem of the fifth grade students of elementary in Singaraja. This quasi-experimental research used non-equivalent control group design with pretest and posttest. The data were analyzed with factorial 2x2 analysis of covariance (Anacova). The sample consisted of the fifth grade students of Elementary School with the total of 152 students spread into 4 classes. The sample was selected by cluster random sampling. The data were collected using mathematics problem solving ability test at the 5% significance level (α = 0.05). The statistical analysis was done with the aid of SPSS 16.0 for Windows. The results showed that (1) the ability, may to solve mathematics problems of the students who learned through PSBLW is higher than those who learned through direct instructional model; (2) the students’ability to solve problems facilitated with open mathematics problems was higher than that with closed mathematics problems. The conclusion is local wisdom-oriented problem solving learning model efective to improve mathematical problem solving ability.


Author(s):  
Amy E. Lein ◽  
Asha K. Jitendra ◽  
Kristin M. Starosta ◽  
Danielle N. Dupuis ◽  
Cheyenne L. Hughes-Reid ◽  
...  

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