scholarly journals Effective mathematics teaching in tertiary technological education: The case of ASPETE

Author(s):  
Katerina Kasimatis ◽  
Andreas Moutsios-Rentzos ◽  
Nikolaos Matzakos ◽  
Varvara Rozou ◽  
Dionisios Kouloumpis

In this mixed methods study, we draw upon a systemic perspective to investigate the way that effective mathematics teaching is constructed in the ASPETE (School of Pedagogical and Technological Education) learning system. We focused on the perspectives of the first-year students (through questionnaires), of the lecturer who taught the course (through interviews), as well as of the research team (through observations). We considered both the pragmatic level (what they actually experienced) and the desired level (what they would prefer to experience). The results of the conducted analyses support the proposed research approach, revealing convergences and divergences in the mapped perspectives, which identify the mathematics teaching effectiveness of the subsystem of the mathematics class in ASPETE as an emergent, systemic phenomenon. The pedagogical implications are discussed, with respect to the planifications of teaching and learning mathematics in the ASPETE learning system.

2021 ◽  
pp. 51-65
Author(s):  
Katerina Kasimatis ◽  
◽  
Andreas Moutsios-Rentzos ◽  
Nikolaos Matzakos ◽  
Varvara Rozou ◽  
...  

In this paper, we adopt a systemic perspective to investigate the teaching of mathematics in ASPETE, which is a tertiary education institute in Greece that offers a two-faceted degree: an engineer degree and a pedagogical degree as engineer educator. We focus on the complex lived reality of first year Electrical Engineers and Mechanical Engineers students through a multileveled affective mapping oftheir studying in ASPETE, including: approaches to study, confidence in learning mathematics, conceptions about mathematics and its role in their studies and career, and views about mathematics teaching effectiveness (considering both what they actually experienced and what they would prefer to experience). Thestudents were found to show a lack of preference for the surface approach (though not combined with a preference for a deep approach), a neutral-positive confidence in learning mathematics, and to be satisfied by the teachers’ effectiveness. Confidence in learning mathematics appeared to be central in the identified dynamic affect system, whilst their conceptions about mathematics seemed to be related with the desired characteristics of mathematics teaching. The students of the two departments differed in their levels of confidence in learning mathematics, which we posit that is linked with the qualitatively different affective complexity they experience.


2018 ◽  
Vol 7 (5) ◽  
pp. 156
Author(s):  
Nahil Aljaberi ◽  
Eman Gheith

The aim of this study is four fold: (a) to investigate the beliefs of elementary (grades 1-3) and middle school (4-6 grades) math teachers about teaching, learning and nature of mathematics; (b) to explore their teaching practices of mathematics; (c) to study the impact of their educational qualifications, years of experience, major on their beliefs toward teaching, learning and nature of mathematics, and; (d) to explore the relationship between their beliefs about teaching learning and nature of mathematics and their teaching practices. Data were collected using two questionnaires: the Math Teacher Beliefs Scale and the Mathematics Teaching Practices Scale. The study sample consisted of 101 teachers who teach in 11 private schools located in Amman, Jordan. The result of this study showed that teachers’ beliefs towards teaching and learning mathematics are more inclined towards being constructive or mixed in between. It was also concluded that the teaching practices lean towards constructivism. There were no significant differences attributed to years of experience, academic level, major, or at what stage they teach, whether it revolves around the their beliefs towards teaching and learning mathematics or towards teaching practices (from teachers’ perspective). The study results revealed a statistically significant correlation between what the teachers believe and what teaching practices they put into use.


1994 ◽  
Vol 87 (6) ◽  
pp. 392-393
Author(s):  
Steven Leinwand

Many of us chose mathematics teaching because it was always so neat and clean. We felt an affinity toward teaching and learning mathematics because it was orderly and logical. Almost always, we arrived at only one numerical answer by using one right procedure that could be easily graded either right or wrong. We knew that with our beloved mathematics, we suffered none of the gray areas that plague the disciplines of language arts and social studies. And we knew that we would be rewarded for teaching mathematics the way we ourselves were taught. But, oh, how things have changed!


Author(s):  
Tzu-Chi Yang ◽  
Hseng-Tz Fu ◽  
Gwo-Jen Hwang ◽  
Stephen J. H. Yang

<p>Mathematical skills have been recognised as a core competence for engineering and science students. However, learning mathematics has been recognised as a difficult and challenging task for most students, in particular, calculus for first-year students in university. Consequently, the development of effective learning strategies and environments for mathematics courses has become an important issue. To this end, a mathematics learning system based on an instant diagnostic and guiding strategy is proposed to enhance students’ calculus learning outcomes. Moreover, an experiment has been conducted in a university calculus course to evaluate the effectiveness of the proposed method. The experimental results show that the proposed approach not only improved the students’ learning performance, but also improved their confidence in learning calculus. Further findings are also discussed.</p>


2019 ◽  
Vol 8 (1) ◽  
pp. 50-57 ◽  
Author(s):  
Laura Sombra Del Río ◽  
Cecilia Verónica Sanz ◽  
Néstor Daniel Búcari

The use of hypermedia educational materials in education has gained relevance in recent years and is the object of numerous research activities. In the context of teaching and learning Mathematics, there are diverse works detailing their potential to improve both student learning and student attitude towards the subject. In this article, the results obtained through a case study carried out in a first-year course of Mathematics at a School of Engineering are shared, for which a hypermedia material was designed and then its impact in the classroom was analysed. To that end, a quanti- qualitative analysis framework was designed. An experience was carried out with two groups of students: one of these (n=101) used this material, and the other (n=111) served as control group. The students gave a positive overall assessment as regards to the experience carried out with the hypermedia material, but not to the extent expected. However, observations and the interviews carried out with the educators revealed that the hypermedia material positively contributed to several student learning aspects: it allowed using a mathematical software application as an exploratory tool and it promoted critical thinking among the students, who used the application to check their pen-and-paper work, using the semiotic representation conversions.


1981 ◽  
Vol 29 (4) ◽  
pp. 5
Author(s):  
Thomas E. Rowan

Most people I know agree that some kind of team approach is the most effective avenue to good mathematics teaching and learning. Mathematics teachers and supervisors are members of one of the kinds of teams that can produce highly effective mathematics instruction. The purpose of this article is to say something, however briefly, to mathematics supervisors about another member of the team that can make things easier and even more effective—the Arithmetic Teacher. Of course, having a team member like the AT is not just having one additional member on your team; it's a variety of additional members. Although it may be a case of stating the obvious for most supervisors, I believe it is worthwhile to briefly enumerate some of the ways in which the AT can help supervisors.


1993 ◽  
Vol 41 (4) ◽  
pp. 225-227 ◽  
Author(s):  
Nancy Nesbitt Vacc

Tien-Tien announced during the news of the day that her grandmother was coming for a visit. Her third-grade teacher later used this news to introduce the mathematics lesson as follows: ‘If Tien-Tien's grandmother leaves China tomorrow morning, how long do you think it will take her to arrive in North Carolina?” The discussion that followed included a variety of important questions and comments. “Is she going to fly or take a boat?” “How fast does a plane fly?” “Will she come this way (pointing to Europe on the map) or that way (Pacific Ocean)?” “Can she sleep on the plane or will she need to land someplace so she can sleep in a bed?” “Where can the plane land on the way here from China?” “How often does a plane need to land for gas?” “I know that my cousin in Chicago is one hour later than we are. If she has to land in Chicago. won't that make a difference in how we figure the time?”


Author(s):  
Daria Rovan ◽  
Dubravka Glasnović Gracin ◽  
Goran Trupčević

In Croatia, as in many other countries, primary education teachers are trained as generalists and mathematics is only one of several different subjects that they teach, so when choosing their profession they are not necessarily drawn by their interest in becoming a mathematics teacher. Still, it is very important that they have a positive attitude towards mathematics and are motivated to teach it to their students. The aim of this study was to explore whether pre-service teachers with different achievement goal profiles have different beliefs about mathematics and teaching and learning mathematics. The participants were 325 pre-service primary education students. The research was conducted in three waves, during the students’ first, third and fifth year of study. In their first year of studies, we collected data on the achievement goals in mathematics that they had in high school, and self-efficacy in mathematics. Epistemic beliefs, subjective value of mathematics and mathematics anxiety were assessed at all measurement points. In their third and fifth year of study, we also collected data on the participants’ mathematics teaching efficacy beliefs and, in their fifth year, beliefs on teaching and learning mathematics. The results of the cluster analysis showed that we could group pre-service primary education teachers into three groups according to the profiles of their achievement goals in high school: (1) all goals high, (2) all goals low, (3) mastery orientation. The results showed differences between the groups in terms of motivation for learning mathematics at the beginning of their studies. However, these differences tend to be less prominent over time. At the end of their studies, they do not differ in their mathematics teaching efficacy beliefs or their beliefs about teaching and learning mathematics.Key words: achievement goals; mathematics education; motivation; teacher education; teachers’ beliefs---U Hrvatskoj, kao i u mnogim drugim zemljama, osnovnoškolski učitelji korisnici su generaliziranoga obrazovanja i Matematika je samo jedan od nekoliko različitih predmeta koje poučavaju, tako da ih pri odabiru profesije nužno ne privlači interes da budu učitelji matematike. Ipak, njihov pozitivan stav prema matematici i motivacija za poučavanje učenika matematici vrlo su važni. Cilj je ovoga istraživanja ispitati imaju li učitelji s različitim profilima ciljeva postignuća različita uvjerenja o matematici i poučavanju i učenju matematike. U istraživanju je sudjelovalo 325 studenata, budućih učitelja primarnoga obrazovanja. Istraživanje je provedeno u tri ciklusa: tijekom prve, treće i pete godine studija ispitanika. Na prvoj godini studija prikupljali smo podatke o ciljevima postignuća u matematici koje su sudionici imali u srednjoj školi i o samo-učinkovitosti u matematici. Epistemološka uvjerenja, subjektivnu vrijednost matematike i tjeskobu procjenjivali smo u svim ciklusima mjerenja. Na trećoj i petoj godini studija sudionika također smo prikupljali podatke o njihovim uvjerenjima o učinkovitosti u poučavanju matematike i, na petoj godini, uvjerenja o poučavanju i učenju matematike. Rezultati klaster analize pokazali su da se budući učitelji, studenti primarnoga obrazovanja, mogu grupirati u tri skupine prema profilima ciljeva postignuća u srednjoj školi: (1) svi visoki ciljevi, (2) svi niski ciljevi i (3) orijentacija prema vještini. Dobiveni rezultati pokazali su razlike između skupina s obzirom na motivaciju za učenje matematike na početku studija. Ipak, te su razlike manje uočljive tijekom vremena. Na kraju studija sudionici se ne razlikuju u svojim uvjerenjima o učinkovitosti u poučavanju matematike niti u svojim uvjerenjima o učenju matematike.Ključne riječi: ciljevi postignuća; matematičko obrazovanje; motivacija; obrazovanje učitelja; uvjerenja učitelja


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