Fostering Mathematical Creativity Through Problem Posing and Three-Act Tasks

2021 ◽  
Vol 44 (3) ◽  
pp. 141-150
Author(s):  
Wendy M. Lewis ◽  
Madelyn W. Colonnese

The National Association for Gifted Children and The National Council of Teachers of Mathematics both call for problem posing. This article illustrates the strategies used during a series of three Three-Act Tasks to foster second grade students’ abilities to problem pose. The students’ problem posing improved across the three Three-Act Tasks and revealed mathematically creative thinking. To support and encourage the students to problem pose, the teacher asked generative questions, modeled various problems, provided concrete manipulatives, and had the students create their own sequel to the Three-Act Tasks.

Author(s):  
Najwa Mohammed Al-Shalabi

This study aimed at uncovering the impact of the strategy of the six hats in the teaching of science on the development of creative thinking among second grade students (in the schools of Jordan Ma'an governorate). The sample of the study consisted of (50) students from the second grade students, and distributed to two divisions (A and B). One of the two groups was randomly chosen to be the control group (25). The other division represented the experimental group (25) students. In the tribal and remote measures, the creative thinking test was used as the image of the words "A", according to the training program prepared by the researcher. The results showed that there were statistically significant differences in the performance of the study subjects on the test of creative thinking as a whole, and its three dimensions (fluency, flexibility, and originality), And its three dimensions (fluency, flexibility, and originality) were attributed to the six hats program and the academic average for the experimental group, while there were no statistically significant differences in the performance of the study subjects and its secondary dimensions due to the interaction between the training program and the academic rate. In the light of the results reached, the researcher recommended conducting further studies using the program on basic and intermediate grades in other regions to verify its effectiveness. Because it has a positive impact in the development of creative thinking.  


2017 ◽  
Vol 5 (2) ◽  
pp. 41
Author(s):  
Mita Soviana ◽  
Syifa’ul Gummah ◽  
L Habiburahman

[Title: The Development of Problem Based Modules to Improve Students' Creative Thinking Skills]. This study aimed to produce a module of physics-based on problems to improve students creative thinking skills. The development model used in this study was ADDIE. This research was conducted in second-grade students of SMP Muhammadiyah Mataram. Data analysis was used qualitative descriptive analysis. The results of this research show that the module rating by validator 1 was 3.28 which criteria into very valid and validator 2 was 3.34 which criteria into very valid. Module practicability was analyzed by the implementation of learning with 3 observers. The assessment by observer 1 was 3.75 very good, observer 2 was 3.75 very good, and observer 3 was 3.79 very good with the criteria of the excellent module assessment. The result of the research shows the students response when used the module was 3.7 is strongly agreed criteria and 3.07 is agreed criteria. The effectiveness of used the module in improving the students creative thinking skills earned an average score of 79.5 with creative criteria. So, it can be concluded that the use of module physics-based problems can be developed feasible used in the learning process.


2016 ◽  
Vol 37 (3) ◽  
pp. 145-151 ◽  
Author(s):  
Daniel L. Gadke ◽  
Renée M. Tobin ◽  
W. Joel Schneider

Abstract. This study examined the association between Agreeableness and children’s selection of conflict resolution tactics and their overt behaviors at school. A total of 157 second graders responded to a series of conflict resolution vignettes and were observed three times during physical education classes at school. We hypothesized that Agreeableness would be inversely related to the endorsement of power assertion tactics and to displays of problem behaviors, and positively related to the endorsement of negotiation tactics and to displays of adaptive behaviors. Consistent with hypotheses, Agreeableness was inversely related to power assertion tactics and to displays of off-task, disruptive, and verbally aggressive behaviors. There was no evidence that Agreeableness was related to more socially sophisticated responses to conflict, such as negotiation, with our sample of second grade students; however, it was related to displays of adaptive behaviors, specifically on-task behaviors. Limitations, including potential reactivity effects and the restriction of observational data collection to one school-based setting, are discussed. Future researchers are encouraged to collect data from multiple sources in more than one setting over time.


Author(s):  
Tihomir Prša ◽  
Jelena Blašković

Expressiveness of the church modes is reflected in their character and association of certain states with a specific mode or single Gregorian composition which possesses unique expressiveness. An important characteristic of Gregorian chant on the tonality level is diatonic singing based on scales without chromatics, using only one semitone in the tetrachord whose musical structure reflects the expressiveness of Gregorian chant. Such expressiveness achieves character specificities which each mode respectively reflects. Various modal material in the form of typical melodic shifts in a certain composition conditions the expressiveness of Gregorian music and influences the listening impression and assessment of individual Gregorian tunes. The goal of this work is to examine primary education students' experiences of the expressiveness of Gregorian modes and explore if today's auditory sense accustomed to two tonality genres, major and minor, recognises what has been stored in the heritage of Gregorian chant repertoire for centuries. The research was conducted in the school year 2018/2019 with students of first, second, third and fourth grade of primary school (N=100). The results have shown that first and second grade students express higher auditory sensibility in recognizing specific characteristic of authentic Gregorian modes. Third and fourth grade students are audibly less open and perceptive considering tonal character differences in the authentic Gregorian modes. Key words: Gregorian chant; modality; old church scales; students in primary education


2019 ◽  
Vol 1 (2) ◽  
pp. 151-164
Author(s):  
Watini Watini

The reason underlying the implementation of the present study was because there was a finding revealing that there were still several students from cross-economics class of XI MIPA having difficulties in understanding the lessons. In addition, the students also had a kind of thought that economics was just about memorizing things which was not interesting and challenging that resulted in their unsatisfied learning outcomes. Therefore, the SIM-OVG model needed to be implemented in the learning process. The instruments of the present study were observation and, students’ learning reports and work method. The population of the study was the second grade students (4 classes) who enrolled economics subject at SMA Negeri 10 Samarinda, whereas the samples of the study were the students of XI MIPA-1 class (cross-economics class) at SMA Negeri 10 Samarinda. The number of the population and samples was 101 and 23 students respectively. The study lasted for one semester. The description of the classroom observation, the students’ scores and the group presentation were obtained for the data analysis. After implementing the SIM-OVG model, the results showed that; 1) in the affective aspect, the students showed a better attitude, 2) in the cognitive aspect, there was an improvement on the students’ learning outcomes (before the implementation of SIM-OVG model in XI MIPA-1 class, 52,17% of the students did not reach the passing-grade, but after the implementation, 100% of the students reached the passing-grade, and they also looked enthusiastic in doing their assignments, and 3) in the psychomotor aspect, the students became more skillful, creative, and be able to perform high level thinking. The researcher suggested that the dissemination should be done through MGMP forum and SIM-OVG model workshop. In addition, the researcher also suggested the integration of SIM-OVG model with other learning models and hoped that every school provided adequate facilities to support the implementation of SIM-OVG model.


2021 ◽  
pp. 074193252198909
Author(s):  
Christian T. Doabler ◽  
William J. Therrien ◽  
Maria A. Longhi ◽  
Greg Roberts ◽  
Katherine E. Hess ◽  
...  

This study, which was reviewed through the Registered Report process, examined the initial efficacy of the Scientific Explorers program (Sci2) on second-grade students’ science achievement. Sci2 is grounded in the growing body of empirical research on science instruction, embedding principles of explicit instruction within a guided inquiry-based design framework. Eighteen second-grade classrooms were randomly assigned to treatment or control conditions. A cluster randomized controlled trial was employed, with 294 students nested within classrooms and classrooms nested within condition. The Sci2 program was implemented for a total of 10 lessons (5 hr) in treatment classrooms, whereas control classrooms provided business-as-usual science instruction. Overall treatment effects were observed on three of four science outcome measures. The reported effects were moderate to large, with effect sizes (Hedges’ g) ranging from 0.48 to 0.94. Moderation analyses indicated that science knowledge at pretest did not moderate Sci2’s effects. Implications for practice and research are discussed.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Maggie Dahn ◽  
Christine Lee ◽  
Noel Enyedy ◽  
Joshua Danish

AbstractIn inquiry-based science lessons teachers face the challenge of adhering to curricular goals while simultaneously following students’ intuitive understandings. Improvisation (improv) provides a useful frame for understanding teaching in these inquiry-based contexts. This paper builds from prior work that uses improv as a metaphor for teaching to present a translated model for analysis of teaching in an inquiry-based, elementary school science lesson context. We call our model instructional improv, which shows how a teacher spontaneously synthesizes rules of improv with teaching practices to support student learning, engagement, and agency. We illustrate instructional improv through case study analysis of video recorded classroom interactions with one teacher and 26 first and second grade students learning about the complex system of honey bee pollination in a mixed reality environment. Our model includes the following defining features to describe how teaching happens in this context: the teacher 1) tells a story; 2) reframes mistakes as opportunities; 3) agrees; 4) yes ands; 5) makes statements (or asks questions that elicit statements); and 6) puts the needs of the classroom ensemble over individuals. Overall, we show how instructional improv helps explain how teachers can support science discourse and collective storytelling as a teacher (a) shifts power and agency to students; (b) balances learning and agency; and (c) makes purposeful instructional decisions. Findings have immediate implications for researchers analyzing interactions in inquiry-based learning environments and potential future implications for teachers to support inquiry learning.


2019 ◽  
Vol 12 ◽  
pp. 117863881983906
Author(s):  
Elsie Lindy Olan ◽  
Laurie O. Campbell ◽  
Shiva Jahani

The purpose of this study was to investigate the implementation of a nutrition module and activities ( Go, Slow, Whoa) in a literacy environment through an active learning approach. Second graders (N = 85) from diverse socioeconomic status (SES) areas completed the 12-week program. The participants’ perceptions of healthy food choices were measured both pre- and post-intervention. Students met for 30 minutes twice a week, to complete 5-lessons from a Coordinated Approach to Child Health ( CATCH) nutrition module and activities ( Go, Slow, Whoa). Measures were taken both pre- and post-intervention ( Food Fury Quiz) to distinguishing between healthy and unhealthy foods (images). There was a statistically significant improvement ( t = 12.16, df =84, P = .000) from pretest ( M = 19.06, SD = 3.13) and posttest ( M = 23.34, SD = 0.48) scores. Administering a healthy food choice curriculum through literacy and active learning provides an alternative approach to improving health knowledge among second grade students.


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