scholarly journals Mathematical Thinking Styles and the features of Modeling Process

2020 ◽  
Vol 11 (1) ◽  
pp. 59-68
Author(s):  
Juhaina Awawdeh Shahbari

The current study investigated the relationship between students’ mathematical thinking style and their modeling processes and routes. Thirty-five eighth-grade students were examined. In the first stage, the students solved questions, and according to their solutions, they were assigned to one of two thinking style groups: visual and analytic. The two groups engaged in three modeling activities. Findings indicated differences in the groups’ modeling processes in performing the three activities. The primary differences in the modeling processes were manifested in simplifying, mathematizing, and eliciting a mathematical model. In addition, the analytic thinking group skipped the real-model phase in the three activities, while the visual group built a real model for each activity.

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Lamberto Zollo ◽  
Riccardo Rialti ◽  
Alberto Tron ◽  
Cristiano Ciappei

PurposeThe purpose of this paper is to unpack the underlying mechanisms of entrepreneurs' passion, orientation and behavior by investigating the role of rational and nonrational cognitive elements. Building on dual process theory and sociointuitionism, a conceptual model is proposed in order to explore the relationship between entrepreneurial passion, entrepreneurial orientation (EO) and strategic entrepreneurship behavior (SEB). Specifically, entrepreneurs' linear thinking styles (System 2) and nonlinear thinking styles (System 1) are hypothesized as being significant moderators of such a relationship.Design/methodology/approachCovariance-based structural equation modeling (CB-SEM) is used to empirically validate the proposed conceptual model and test the moderating hypotheses on a sample of 300 entrepreneurs actively involved in European small and medium enterprises (SMEs).FindingsEntrepreneurial passion is shown to be a significant antecedent of EO, which, in turn, strongly influences SEB. Moreover, entrepreneurs' linear thinking style positively moderates the EO-SEB relationship, but not the link between passion and EO. Instead, a nonlinear thinking style positively moderates the relationship between passion and EO, but not the links between EO and SEB.Practical implicationsEntrepreneurs should trust their nonlinear thinking style – related to affective/emotive and intuitive information processing systems – to foster the effect of their entrepreneurial passion on EO. Furthermore, entrepreneurs should rely on a linear thinking style, namely the rational and deliberative cognitive processes, to enhance the impact of their EO on SEB.Originality/valueDual process theory and sociointuitionism are integrated to simultaneously investigate the effect of nonrational and rational cognitive mechanisms on entrepreneurs' orientation and behavior. Moreover, the proposed model is empirically tested on a sample of entrepreneurs working in SMEs located in Europe, which have received little attention from entrepreneurship scholars in comparison to their US counterparts. The authors’ findings suggest important implications for entrepreneurs, policymakers and entrepreneurial universities educators.


2012 ◽  
Vol 3 (1) ◽  
Author(s):  
Mona Omidi ◽  
Shirin Sadat Shafiei

The main goal of this study is to examine the relationship between teachers’ thinking styles and girl students’ Spiritual Intelligence (SI) in Tehran’s high schools. The population included all 155859 students and 12571 teachers in Tehran’s girl high schools. According to “Morgan table” 384 students and 375 teachers were selected using cluster random sampling method. Research tools were two standardized questionnaires: Emren & Demir’s (2007) Spiritual Intelligence Questionnaire and Sternberg’s thinking style inventory. Their validity indexes were evaluated by Mehrjou (2009). The reliability of the instruments was also calculated using Alpha Cronbach as 0.89 and 0.81 respectively. The research results revealed that teachers used a high level of executive and legislative thinking styles and a medium use of judicial style. There was also a negative relationship between executive style and problem solving. There was no meaningful relationship between executive thinking style and self-awareness consciousness, being holistic and grace. A negative relationship between legislative style and grace was also observed. However, there wasn’t a meaningful relation between this thinking style and problem solving. However, no positive relationship between this thinking style and grace was observed.   Keywords - thinking styles, executive, legislative, judicial thinking, spiritual intelligence


2019 ◽  
Vol 7 (2) ◽  
pp. 93
Author(s):  
Tri Rahayu Handayani ◽  
Siti Khoiruli Ummah ◽  
Dwi Priyo Utomo

<div class="WordSection1"><p class="JRPMAbstrakTitle">Abstrak</p><p class="JRPMAbstractBody">Penelitian ini bertujuan untuk mengidentifikasi kemudian menganalisis gaya berpikir matematis mahasiswa Semester V dalam menyelesaikan soal bertipe tingkat tinggi. Penelitian ini berjenis deskriptif dengan data kualitatif berupa hasil tes mahasiswa pada Mata Kuliah Struktur Aljabar. Jumlah mahasiswa yang diberikan tes bertipe tingkat tinggi berjumlah 22 orang yang direduksi menjadi enam orang. Hasil penelitian ini didasarkan pada karakteristik gaya berpikir matematis ditinjau dari dimensi pembelajaran yaitu konservatif dan liberal. Berdasar hasil penelitian, mahasiswa dengan gaya berpikir matematis tipe konservatif menyelidiki subgrup dengan menggunakan definisi subgrup yaitu menggunakan langkah-langkah pembuktian grup antara lain tertutup, asosiatif, mempunyai elemen identitas, dan invers. Gaya berpikir matematis tipe konservatif cenderung menggunakan strategi penyelesaian masalah yang telah dikenal dan dilakukan sebelumnya. Mahasiswa dengan gaya berpikir liberal menyelidiki subgrup dengan menggunakan Teorema <em>One Step Subgroup Test</em> dan <em>Two Steps Subgroup Test</em> sehingga ada beberapa tahapan pembuktian grup yang dieliminasi. Mahasiswa dengan gaya berpikir matematis tipe liberal menggunakan pengetahuan terbaru yang diperolehnya sehingga pengetahuan lama diadaptasi.</p><p class="JRPMAbstrakKeywords"><strong>Kata Kunci</strong>: gaya berpikir matematis, gaya berpikir matematis tipe liberal, gaya berpikir matematis tipe konservatif, soal bertipe tingkat tinggi</p><p class="JRPMTitleEnglish" align="left"> </p><p> </p><p class="JRPMAbstrakTitle">Abstract</p><p class="JRPMAbstractBodyEnglish">This research aimed to identify and then analyze the mathematical thinking style V Semester student in resolving the high-ordered thinking skill. This was a descriptive study using qualitative data in the form of student test results on Algebraic Structures Courses. The number of students who were given a high degree of type tests amounted to 22 students who were reduced to six men. The results of this research were based on the characteristics of the style of thinking mathematically in terms of the dimensions of learning that was conservative and liberal. Based on the results of research, students with mathematical thinking styles of the conservative type investigate largest using the definition of largest i.e. used measures of proof among other group was closed, associative, has an identity element, and the inverse. Mathematical thinking conservative type styles tend to use the strategies of solving problems that have been known and done before. Students with liberal thinking investigate largest style by using the theorem of One Step Subgroup Test and Two Steps Subgroup Test so that there were several stages of proof the group was eliminated. Students with mathematical thinking liberal type styles using the latest knowledge acquired so that the old knowledge was adapted.</p><p class="JRPMAbstrakKeywords"><strong>Keywords</strong>: mathematics thinking style, liberal mathematics thinking style, conservative mathematics thinking style, high-ordered thinking problems</p></div>


2018 ◽  
Vol 49 (7) ◽  
pp. 1066-1080 ◽  
Author(s):  
Liman Man Wai Li ◽  
Takahiko Masuda ◽  
Takeshi Hamamura ◽  
Keiko Ishii

People have to make different decisions every day, in which culture affects their strategies. This research examined the role of analytic versus holistic thinking style on resource allocation across cultures. We expected that, analytic thinking style, which refers to a linear view about the world where objects’ properties remain stable and separate, would make people concentrate their resource allocation corresponding to the current demand, whereas holistic thinking style, which refers to a nonlinear view that people perceive change to be a constant phenomenon and the universe to be full of interconnected elements, would encourage people to spread out their resource allocation. In Study 1, Hong Kong Chinese, a representative group of holistic cultures, and European Canadians, a representative group of analytic cultures, completed a resource allocation task (i.e., fort game). The results showed that the allocation pattern of European Canadians was more concentrated than that of Hong Kong Chinese and holistic thoughts predicted a less concentrated allocation pattern. To test causality, thinking styles were manipulated in Study 2, in which mainland Chinese were primed with either holistic thinking style or analytic thinking style. The results showed that the allocation pattern was more concentrated in the analytic condition than that in the holistic condition, which was explained by greater perceived predictability in the analytic condition. Implications of these findings on cross-cultural decision-making research and applied research were discussed.


2020 ◽  
Vol 10 (3) ◽  
pp. 68 ◽  
Author(s):  
Alla Belousova ◽  
Yulia Mochalova

The thinking of a manager is conditioned by their motivational features which determine their personal professional success and the effectiveness of the organization’s activities. In this study, we assumed that two groups of sales and advertising managers had differences in the relationships between thinking style and their motivational qualities, as well as their individual need for achievement. We used the following sources: The methodology of A. Belousova for the diagnosis of thinking styles, the “scale of control over action” by J. Kuhl, and “the need for achievement” by Yu.A. Orlov. The selection consisted of 61 people, 25 to 30 years of age, of which 41 were men and 20 were women, from organizations engaged in the sale of a technical group of goods (also known as Group A) and advertising services (also known as Group B), in Rostov-on-Don. The Spearman rank correlation method was used for quantitative data processing. In group Group A, the analysis showed the presence of statistically significant connections. A critical style of thinking has a significant relationship with the level of clarity about the need for achievements and practical thinking is statistically significantly interrelated with control over action in a situation of failure. Whereas, in Group B, an initiative, managerial, and practical style of thinking has a significant correlation with the need for achievement.


2021 ◽  
pp. 183933492199851
Author(s):  
JungHwa (Jenny) Hong ◽  
Kyung-Ah (Kay) Byun

Innovative visual design plays an important role in marketing for attracting consumers’ attention in-store. Drawing upon thinking styles and design literature, this research investigates how consumers’ different thinking styles influence their evaluations of and attitudes toward the innovative visual design via perceived functional innovativeness. Findings indicate that consumers with a holistic (vs. analytic) thinking style, who integrate perspectives and open-mindsets, show more favorable attitudes toward a product with an innovative visual design. The results emphasize the mediating role of visually hinted functional innovativeness on the effect of a holistic thinking style on consumer attitudes.


2017 ◽  
Vol 48 (5) ◽  
pp. 627-643 ◽  
Author(s):  
Hajin Lee ◽  
Yuki Shimizu ◽  
Takahiko Masuda ◽  
James S. Uleman

Previous findings indicated that when people observe someone’s behavior, they spontaneously infer the traits and situations that cause the target person’s behavior. These inference processes are called spontaneous trait inferences (STIs) and spontaneous situation inferences (SSIs). While both patterns of inferences have been observed, no research has examined the extent to which people from different cultural backgrounds produce these inferences when information affords both trait and situation inferences. Based on the theoretical frameworks of social orientations and thinking styles, we hypothesized that European Canadians would be more likely to produce STIs than SSIs because of the individualistic/independent social orientation and the analytic thinking style dominant in North America, whereas Japanese would produce both STIs and SSIs equally because of the collectivistic/interdependent social orientation and the holistic thinking style dominant in East Asia. Employing the savings-in-relearning paradigm, we presented information that affords both STIs and SSIs and examined cultural differences in the extent of both inferences. The results supported our hypotheses. The relationships between culturally dominant styles of thought and the inference processes in impression formation are discussed.


2021 ◽  
Author(s):  
Valerie van Mulukom ◽  
Adam Baimel ◽  
Everton de Oliveira Maraldi ◽  
Thomas Joseph Coleman ◽  
Miguel Farias

Conflicting findings have emerged from research on the relationship between thinking styles and supernatural beliefs. In two studies, we examined this relationship through meta-cognitive trust and developed a new (1) experimental manipulation, a short scientific article describing the benefits of thinking styles, (2) trust in thinking styles measure, the Ambiguous Decisions task, and (3) supernatural belief measure, the Belief in Psychic Ability scale. In Study 1 (N=415) we found differences in metacognitive trust in thinking styles between the analytical and intuitive condition, and overall higher analytical scores. We also found stronger correlations between thinking style measures and psychic ability and paranormal beliefs than with religious beliefs, but a mixed-effect linear regression showed little to no variation in how measures of thinking style related to types of supernatural beliefs. In Study 2, we replicated Study 1 with participants from the United States, Canada, and Brazil (N=802), and found similar results, though Brazilian participants showed a reduced emphasis on analytical thinking. We conclude that our new design, task, and scale may be particularly useful for dual-processing research on supernatural belief.


2018 ◽  
Vol 11 (11) ◽  
pp. 1
Author(s):  
Nesrin Uyanık Sağlam ◽  
Erhan Tunç

This study aims to identify the relationship between thinking styles and the need for cognition in students of the faculty of education, as well as the existence of significant differences between these two variables according to gender, department of study, class level, educational background from secondary school level, monthly incomes of families and the place where families have resided longest. The study was conducted with 820 students studying at different departments of the Faculty of Education at Gaziantep University, during the 2014-2015 academic year. In the study, data was collected using the Thinking Styles Scale and the Need for Cognition Scale, while demographic details of students were obtained through a Personal Information Form created by the researcher. Pearson&rsquo;s correlation test, t-test and one-way analysis of variance (ANOVA) were employed in SPSS 20 software for data analysis. According to the findings of the study, students of the education faculty use the legislative thinking style the most and the conservative thinking style the least among the others given in the Thinking Styles Scale. According to the findings regarding the relationship between thinking styles and the need for cognition; the Thinking Styles Scale shows that there are significant differences between the legislative, executive, judicial, hierarchic, oligarchic, anarchic, local, internal, liberal dimensions of thinking and the need for cognition, while there is no significant difference between the global and conservative thinking styles and the need for cognition. It is seen that legislative, executive and hierarchic dimensions of the Thinking Styles Scale differ significantly according to the gender variable. Local, conservative and oligarchic dimensions of the Thinking Style Scale also show significant differences according to the department where the students study. This differentiation is seen in favor of the classroom teaching department against the Psychological Counselling and Guidance (PCG) students in the local thinking style dimension, while it is more favorable for the mathematics teaching department against the PCG students in both conservative and oligarchic dimensions. It is also seen that the legislative and local dimensions of the Thinking Styles Scale differ significantly according to the monthly incomes of families. This differentiation is in favor of the 2000 TL and above income group in each of these thinking styles, against those with monthly incomes between 500-1000 TL. On the other hand, the place where families have resided the longest, which is often the same place where students have completed their secondary education, do not differ significantly according to class levels. The Need for Cognition Scale scores differ significantly in favor of the 4th grade students according to the class level variable. A similar significant differentiation in the Need for Cognition Scale scores is also seen in favor of urban areas (provinces) against rural areas (villages) according to the place where families have resided the longest. Finally, the Need for Cognition Scale scores do not show any significant difference in terms of the departments students study at, their secondary school majors and monthly incomes of families.


2011 ◽  
Vol 9 (4) ◽  
pp. 1
Author(s):  
William L. King ◽  
Robert E. Holtfreter

The relationship between thinking style, and job satisfaction was investigated with retail store employees whose job involved highly repetitive tasks. Most of the employees had thinking styles characterized by reliability, precision, and conformity. These employees were generally satisfied with their jobs. The least satisfied employees were those who had a thinking style characterized by a low tolerance for detailed, routine work, and little respect for rules. The practical implications of these findings are discussed.


Sign in / Sign up

Export Citation Format

Share Document