scholarly journals An Intervention Based on Identifying Topics That Students Have Difficulties with

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2220
Author(s):  
Manuel José Fernandez Gutiérrez ◽  
Fernando Sánchez Lasheras ◽  
Juan Antonio Trevejo Alonso

Students who start university coming from secondary school commit some common conceptual errors. This paper presents a study developed in the subject of Numerical Methods taught in the second term of the Industrial Engineering Degrees of Oviedo University (Spain). The study was comprised of several activities, with two main objectives. Firstly, detecting over time the main deficiencies in mathematical knowledge presented by students in the first year of their university degrees and secondly, overcoming these shortcomings. The activities carried out involved preparing teaching materials to be uploaded to a shared folder and made available to the students of the subject, the preparation of a questionnaire and the performance of a task group by the students and then giving them feedback about the shortcomings identified. These activities have been well-received by the students and the results obtained have been positive. Our intention, for later courses, is to continue developing this work with some supplementary activities.

Author(s):  
TMGP Duarte ◽  
AM Lopes ◽  
LFM da Silva

Understanding how the academic performance of first year undergraduate students is influenced by home, personal and institutional factors is fundamental to delineate policies able to mitigate failure. This paper investigates possible correlations between the academic performance of students at the end of high school with their achievements at the end of first year university. Data for students in the Integrated Master in Mechanical Engineering (MIEM) program within the Faculty of Engineering at the University of Porto are analysed for the period 2016/2017 to 2019/2020. The students’ performance is measured by two metrics and the students are structured as a whole and by groups, according to their gender (Male/Female), type of secondary school (Public/Private), living place (Away/Home) and the rank of MIEM in their application list of options (Option 1/Option 2–6). The information is organized statistically and possible correlations between the data are investigated. The analysis reveals limited correlation between the two metrics, meaning that all students may exhibit good or poor results at the end of first year in MIEM, independent of their status at entrance. An unanticipated pattern is exhibited for the group Option 2–6, since it shows that, despite entering into MIEM without top application marks, the students in this group can perform as well as the others. This behavior is consistent over time.


2021 ◽  
Vol 20 ◽  
pp. 160940692199290
Author(s):  
Paulo Padilla-Petry ◽  
Fernando Hernández-Hernández ◽  
Joan-Anton Sánchez-Valero

This article explores the relations between teachers’ visual cartographies and oral narratives to better understand the spatial and temporal relations on teacher learning. It builds on a research project whose main questions were: 1) How and where do secondary school teachers learn to teach? 2) What are the consequences of this learning in their pedagogical relations and their students’ learning processes and results? Since narrative research has been a common way of approaching the subject and have led to an emphasis on learning as a journey across contexts and over time, some of its contributions to explore teachers’ learning paths are theoretically discussed, and visual methods, particularly cartographies, are also examined. Furthermore, the article presents the analysis of cartographies and video recordings of 29 secondary school teachers focusing on the interactions in different spaces and moments in time described by them. Findings suggest that learning to be a teacher may happen in interactions with objects, people and spaces beyond the boundaries of school, university and formal places of training and learning. They also show that the rhizomatic character of the cartographies may not prevent teleological thinking or the idea that any kind of learning is purposeful. Finally, this paper concludes that teachers’ learning does not fit the representational frame that distinguishes between formal contents and leisure activities, classrooms and private spaces, lessons and bodies, emotions and knowledge.


2021 ◽  
Vol 18 (1) ◽  
pp. 55-62
Author(s):  
Darinka Žižek

This research presents one of many possibilities of how to check and repeat knowledge at the end of the school year and at the same time provide an answer to questions often asked by students who are disinterested in learning mathematics: "Where will we need it?" or "Why do we learn this?" To provide them with an answer and motivate them at the same time, this research focused on actively encouraging students to find the answers themselves and thus find the importance of learning mathematics. With a changed way of repeating and consolidating the material at the end of the school year, the aim of this research is to reduce the fear of mathematics and increase the motivation of students in the following year. Students, divided into groups, choose the topic or examples of the use of mathematical knowledge of the first year of secondary technical and professional education in everyday life, and thus shape the learning situation (LS). The goal of preparing the LS is for students to make sense of the subject matter with examples from everyday life. For the selected LS, they prepare a short story with tasks that they solve by calculation, prepare presentations and also, present the LS to the classmates. During the formation of the LS and the preparation of presentations, students are active (active learning methods: task search, knowledge of the subject matter, interviews, problem solving, use of mathematical applications, teamwork, problem solving…) and cooperate with each other. They are constantly developing more 21st century competencies (self-regulation, collaboration, problem solving) and digital competencies. With the formation of the LS, the world of mathematical knowledge gets a little closer to students, they lose their fear of mathematics and become more motivated. Keywords: learning situations, collaborative work, active learning methods, mathematics in everyday life, deviation from the established


2017 ◽  
Vol 6 (1) ◽  
pp. 59 ◽  
Author(s):  
Sri Adi Widodo

Problem-solving skills are the basic capabilities of a person in solving a problem and that involve critical thinking, logical, and systematic. To solve a problem one-way necessary measures to solve the problem. Polya is one way to solve a mathematical problem. by developing teaching materials designed using the steps in solving problems Polya expected students could improve its ability to solve problems. In this first year, the goal of this study is to investigate the process of learning the hypothetical development of teaching materials. This study is a research & development. Procedure development research refers to research the development of Thiagarajan, Semmel & Semmel ie 4-D. Model development in the first year is define, design, and development. The collection of data for the assessment of teaching materials algebra equations conducted by the expert by filling the validation sheet. Having examined the materials of algebraic equations in the subject of numerical methods, reviewing the curriculum that is aligned with KKNI, and formulates learning outcomes that formed the conceptual teaching material on the material algebraic equations. From the results of expert assessment team found that the average ratings of teaching materials in general algebraic equation of 4.38 with a very good category. The limited test needs to be done to see effectiveness teaching materials on problem-solving skills in students who are taking courses numerical methods


2017 ◽  
Vol 6 (1) ◽  
pp. 59 ◽  
Author(s):  
Sri Adi Widodo

Problem-solving skills are the basic capabilities of a person in solving a problem and that involve critical thinking, logical, and systematic. To solve a problem one-way necessary measures to solve the problem. Polya is one way to solve a mathematical problem. by developing teaching materials designed using the steps in solving problems Polya expected students could improve its ability to solve problems. In this first year, the goal of this study is to investigate the process of learning the hypothetical development of teaching materials. This study is a research & development. Procedure development research refers to research the development of Thiagarajan, Semmel & Semmel ie 4-D. Model development in the first year is define, design, and development. The collection of data for the assessment of teaching materials algebra equations conducted by the expert by filling the validation sheet. Having examined the materials of algebraic equations in the subject of numerical methods, reviewing the curriculum that is aligned with KKNI, and formulates learning outcomes that formed the conceptual teaching material on the material algebraic equations. From the results of expert assessment team found that the average ratings of teaching materials in general algebraic equation of 4.38 with a very good category. The limited test needs to be done to see effectiveness teaching materials on problem-solving skills in students who are taking courses numerical methods


2017 ◽  
Vol 4 (3) ◽  
Author(s):  
Gabriella Bodnár ◽  
Dávid Bakonyvári ◽  
Brigitta Szilágyi

A Műegyetemre felvételt nyert hallgatók matematikai képességei, előismeretei igen eltérőek, sokan közülük komoly hiányosságokkal küzdenek. A bekerüléshez szükséges pontok megszerzéséért folytatott küzdelemben a megfelelő matematikai ismeretek elsajátítására már nem marad elegendő idő, energia. A diák a felvételi pontban kedvezőbb utakat járja be, ami a bekerülést követően fejti ki hatását. A középiskolában megszerezett tudást tekintve vegyes összetételű csoportok, ezen belül is a hiányzó alapok, jelentősen megnehezítik az egyetemi matematikaoktatást, számos problémát felvetve mind hallgatói, mind oktatói oldalról. Ily módon a hátrányokkal induló elsőéves esetét tekintve egy effajta lemaradás többet jelenthet az adott tantárgy nehezebb teljesítésénél, amin azt értjük, hogy adott ismeretanyag elsajátításához arányaiban több idő szükséges, mint a tantárgy ajánlott bemeneti szintjét jelentő tudással rendelkező évfolyamtársának. A helyzetet súlyosbítja, hogy a felsőoktatás jelenlegi keretei között kevésbé van mód differenciált oktatásra. Ezek a problémák a BME valamennyi karát érintik, így a Gazdaság- és Társadalomtudományi Karon folytatott képzésekre is kihatnak. 2016 augusztusában egy kéthetes szintrehozó tanfolyam keretén belül arra tettünk kísérletet, hogy a középiskolai anyag rendszerezésével, a tanultak átismétlésével segítsük az új hallgatók egyetemi tanulmányainak megkezdését. ***The mathematical capacities and previous knowledge of the students accepted at the Budapest University of Technology (BME) are very diverse; many of them face serious deficiencies. The fight for the points they are to collect in order to be accepted does not allow them to pay enough time and energy to acquire the adequate mathematical knowledge. The students choose the way more favourable for them in terms of the admission points, the effects of which will appear after they have been accepted.  The groups that are mixed concerning the knowledge gained at secondary school as well as the missing grounds considerably make teaching mathematics more difficult at the universities, and raise several problems on both the students’ and the teachers’ side. Thus, in case a first-grade student faces this type of disadvantage, lagging behind means more than just a more difficult acquisition of the certain material; he/she will need proportionally more time to learn the certain subject than his/her peers being in possession of the knowledge equal to the suggested entrance level of the subject. This situation is further rendered by the fact that within the frames of today’s higher education there are very limited possibilities of differentiated instruction. Each of the departments of the BME is concerned by this problem, likewise the courses conducted at the Department for Economic and Social Sciences. In August 2016, within the frames of a two-week bridging-the-gap course we made a try to help the new students start their university studies by repeating the adequate topics. 


1939 ◽  
Vol 32 (2) ◽  
pp. 68-77
Author(s):  
David W. Starr

The place of mathematics in the secondary school curriculum has been a subject of very much discussion the last few years. Just what are the aims of a mathematical education? Let us paraphrase such aims as suggested by J. H. Minnick. We should give each individual such a knowledge of the subject as will enable him to understand the exactness and force with which mathematics works and the parts which it plays in solving the problems of nature and which makes it possible for man to turn the elements of nature to his own use; we should develop such fundamental concepts as will enable the student to express his thoughts more clearly and to understand written and spoken language more readily; we should give to each student such a knowledge of mathematics as will enable him to carry on the work of his future occupation as it is now conducted, as will serve as a basis for future preparation if progress in his work should demand it, as will enable him to find new and better ways of doing his work and to recognize a mathematical situation when be sees it; we should require of each student sufficient mathematics to determine whether he will profit by further study of the subject and to select those who will probably be leaders in mathematical thought; and of the select group we should give enough mathematics to keep open the door of specialization in mathematics and in fields dependent upon mathematics.1


1911 ◽  
Vol 3 (3) ◽  
pp. 101-128
Author(s):  
Eugene R. Smith ◽  
Maurice J. Babb ◽  
I. J. Schwatt

Before taking up the subject of our discussion, I ought to state that it has always been with the greatest reluctance that I have felt constrained to criticise the teaching of mathematics in the elementary and secondary schools. The reason for my reluctance is the inequity of the situation. We college teachers have an opportunity to test the knowledge of many who have been taught in the elementary and secondary schools, and on the results of this test, our favorable or unfavorable criticism is based. But the inequity exists because we college teachers constitute ourselves a court of last resort, so to speak. True enough, the college student will be judged by the mental capabilities which he possesses, but very few of them will have to show how much actual knowledge of mathematics they have gained while under our instruction. If we college teachers are unsuccessful with the student, we have the defense that he came to us not fully prepared and that the foundation of his mathematical knowledge was not strong enough to put the superstructure on. However, I feel that there is as much need for improvement in the course of study and the method of teaching of college mathematics as there is of the elementary and secondary mathematics.


2020 ◽  
Vol 24 (1) ◽  
pp. 26-48
Author(s):  
Warren Swain

Intoxication as a ground to set aside a contract is not something that has proved to be easy for the law to regulate. This is perhaps not very surprising. Intoxication is a temporary condition of varying degrees of magnitude. Its presence does however raise questions of contractual autonomy and individual responsibility. Alcohol consumption is a common social activity and perceptions of intoxication and especially alcoholism have changed over time. Roman law is surprisingly quiet on the subject. In modern times the rules about intoxicated contracting in Scottish and English law is very similar. Rather more interestingly the law in these two jurisdictions has reached the current position in slightly different ways. This history can be traced through English Equity, the works of the Scottish Institutional writers, the rise of the Will Theory, and all leavened with a dose of judicial pragmatism.


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