scholarly journals How Does Pedagogical Flexibility in Curriculum Use Promote Mathematical Flexibility? An Exploratory Case Study

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1987
Author(s):  
Kyeong-Hwa Lee ◽  
GwiSoo Na ◽  
Chang-Geun Song ◽  
Hye-Yun Jung
Keyword(s):  
School Teacher ◽  
Classroom Environments ◽  
Central Tendency ◽  
Exploratory Case Study ◽  
Alternative Approaches ◽  
Written Curriculum ◽  
Authentic Classroom ◽  
Insight Into ◽  
Curriculum Use

Flexibility has been increasingly valued in mathematics education to better prepare students for lives in the rapidly changing society of the future. Although there has been conjecture that teachers’ flexibility plays a substantial role in facilitating students’ mathematical flexibility, there has been little examination of how teachers can use a flexible curriculum to develop mathematical flexibility (MF) in authentic classroom environments. This paper elaborates the notion of flexible curriculum use, referred to as pedagogical flexibility (PF) in curriculum use, as the competence to expand pedagogical space and make alternative pedagogical decisions when planning and enacting a curriculum that differs from the routine practices provided in the intended and written curriculum. We develop a framework for PF in curriculum use to identify and characterize teachers’ curriculum use to promote MF. In an explorative case study with one middle school teacher, we analyzed what and how specific aspects of PF in curriculum use promote potential and actual MF in the learning of central tendency measures. Findings indicate that the teacher could expand his pedagogical space by carefully differentiating the pedagogical considerations of the curriculum and could find alternative approaches by making associative and reflective connections among them. This provides insight into how PF in curriculum use can promote students’ potential and actual MF.

scholarly journals A Picture is Worth a Thousand Words: Examining learners’ illustrations to understand Attitudes towards Mathematics

2015 ◽  
Vol 2 (2) ◽  
pp. 234-248
Author(s):  
Farhat Syyeda ◽  
Farhat Syyeda
Keyword(s):  
Secondary School ◽  
Mixed Method ◽  
Secondary School Students ◽  
Positive Attitude ◽  
School Students ◽  
Exploratory Case Study ◽  
East Midlands ◽  
Mathematical Symbols ◽  
Insight Into

This article presents my experience of using pictures/images drawn by children as a form of data in research and discusses the merits and implications of employing this method. It comes from research of a mixed method exploratory case study to investigate the attitudes of 11 and 15 year old secondary school students (in the East Midlands) towards Mathematics. The aim of this research was to gain an insight into the emotions, cognition, beliefs and behaviour of learners regarding Maths and the factors which influence their attitude. Besides using the tried and tested data collection tools such as focus groups and questionnaires, the children were asked to draw pictures illustrating their vision of Maths and its impact on their lives. The idea was to offer them an alternative medium of communication to exhibit their feelings and thoughts. Students used emoticons, numerals, figures, characters and mathematical symbols to show their favourable/unfavourable attitudes towards Maths and their understanding of the importance of Maths in future life. The results of visual data in this study conform to the findings of the other forms of data collected and show that boys and higher ability students have a more positive attitude towards Mathematics as compared to girls and low ability students.

Margins and Modernity: A Geocritical Approach to Anna Seward's Llangollen Vale

Romanticism ◽  
2019 ◽  
Vol 25 (1) ◽  
pp. 69-80
Author(s):  
Ruth Knezevich
Keyword(s):  
Analytic Approach ◽  
Romantic Era ◽  
Insight Into

The genre of annotated verse represents an under-explored form of transporting romanticism. In annotated, locodescriptive poems like those in Anna Seward's Llangollen Vale, readers are invited to read not only the spatiality of the landscapes depicted in the verse but also the landscape of the page itself. Seward's poems, with their focus on understanding geographical, political, and historical spaces both real and imaginary, provide geocritical insight into poetic productions of the early Romantic era. Likewise, geocriticism offers a fresh and useful – even necessary – analytic approach to such poems. I adopt Anna Seward as a case study in annotated verse and argue that attending to the materiality and paratextuality of her work allows us to access the complexities of her poetry and prose as well as her position within the wider framework of transporting Romanticism.

Transformative Encounters and Uncanny Intimacies: Biotechnology and Contemporary Art – A Practitioner's Approach and Perspective

Somatechnics ◽  
2012 ◽  
Vol 2 (2) ◽  
pp. 263-283 ◽  
Author(s):  
Svenja J. Kratz
Keyword(s):  
Tissue Culture ◽  
Human Skin ◽  
Contemporary Art ◽  
Skin Equivalent ◽  
Biomedical Innovation ◽  
Equivalent Models ◽  
Science Projects ◽  
Insight Into ◽  
Human Skin Equivalent

Abstract: Presented from an ArtScience practitioner's perspective, this paper provides an overview of Svenja Kratz's experience working as an artist within the area of cell and tissue culture at QUT's Institute of Health and Biomedical Innovation (IHBI). Using The Absence of Alice, a multi-medium exhibition based on the experience of culturing cells, as a case study, the paper gives insight into the artist's approach to working across art and science and how ideas, processes, and languages from each discipline can intermesh and extend the possibilities of each system. The paper also provides an overview of her most recent artwork, The Human Skin Equivalent/Experience Project, which involves the creation of personal jewellery items incorporating human skin equivalent models grown from the artist's skin and participant cells. Referencing this project, and other contemporary bioart works, the value of ArtScience is discussed, focusing in particular on the way in which cross-art-science projects enable an alternative voice to enter into scientific dialogues and have the potential to yield outcomes valuable to both disciplines.

A Novel Integrated Reliability Test System for BEOL TDDB Study

2012 ◽  
Author(s):  
Jifeng Chen ◽  
Peilin Song ◽  
Thomas M. Shaw ◽  
Franco Stellari ◽  
Lynne Gignac ◽  
...  
Keyword(s):  
Preliminary Analysis ◽  
Dielectric Breakdown ◽  
Test System ◽  
Accurate Information ◽  
Reliability Test ◽  
Electrical Measurements ◽  
Time Dependent Dielectric Breakdown ◽  
Microscopy Images ◽  
Insight Into

Abstract In this paper, we propose a new methodology and test system to enable the early detection and precise localization of Time-Dependent-Dielectric-Breakdown (TDDB) occurrence in Back-End-of-Line (BEOL) interconnection. The methodology is implemented as a novel Integrated Reliability Test System (IRTS). In particular, through our methodology and test system, we can easily synchronize electrical measurements and emission microscopy images to gather more accurate information and thereby gain insight into the nature of the defects and their relationship to chip manufacturing steps and materials, so that we can ultimately better engineer these steps for higher reliable systems. The details of our IRTS will be presented along with a case study and preliminary analysis results.

Radical Subject Acceleration for Gifted Students: One School's Response

2019 ◽  
pp. 29-46
Author(s):  
Kaye Chalwell ◽  
Therese Cumming
Keyword(s):  
Gifted And Talented ◽  
Gifted Students ◽  
Subject Area ◽  
Lessons Learned ◽  
Gifted Student ◽  
Learning Needs ◽  
Mathematically Gifted ◽  
Support Students ◽  
Insight Into

Radical subject acceleration, or moving students through a subject area faster than is typical, including skipping grades, is a widely accepted approach to support students who are gifted and talented. This is done in order to match the student’s cognitive level and learning needs. This case study explored radical subject acceleration for gifted students by focusing on one school’s response to the learning needs of a ten year old mathematically gifted student. It provides insight into the challenges, accommodations and approach to radical subject acceleration in an Australian school. It explored the processes and decisions made to ensure that a gifted student’s learning needs were met and identified salient issues for radical subject acceleration. Lessons learned from this case study may be helpful for schools considering radical acceleration.

Ethnic Enterprises, Class Resources and Market Conditions: Indian owned SMEs in Malaysia

2018 ◽  
Vol 35 (2) ◽  
pp. 5-29
Author(s):  
JESRINA ANN XAVIER ◽  
EDMUND TERENCE GOMEZ
Keyword(s):  
Food Industry ◽  
Case Study Method ◽  
Market Conditions ◽  
New Generation ◽  
Insight Into

This article investigates changes in the conduct of ethnic enterprises followingthe emergence of a new generation of owners with varying class resources andas market conditions transform. The case study method is used to examinethe impact of changing class resources and market conditions on ethnicallybasedenterprises, exploring the effects of generational transitions among smallIndian owned companies in the food industry in Malaysia. The results providean insight into key changes in the evolution of Indian owned enterprises. Theyindicate that changes in class resources and market conditions have enabledIndian owned food-based companies to alter their products to fit a largermarket, while responding to the demands of a rapidly modernizing society.

A NEW INSIGHT INTO THE TRANSPORT AND STORAGE OF MAGMA IN SUBVOLCANIC SYSTEMS: A CASE STUDY FROM THE REYDARA LACCOLITH, SE ICELAND

2019 ◽  
Author(s):  
Michael Petronis ◽  
◽  
Vincent Twomey ◽  
William McCarthy ◽  
Craig MaGee
Keyword(s):  
And Storage ◽  
Insight Into

Scales and Units

2018 ◽  
Author(s):  
Kathryn M. de Luna
Keyword(s):  
Language Change ◽  
Historical Linguistics ◽  
Bantu Languages ◽  
The North ◽  
First Case ◽  
Linguistic Evidence ◽  
River Region ◽  
History Of ◽  
Alternative Approaches

This chapter uses two case studies to explore how historians study language movement and change through comparative historical linguistics. The first case study stands as a short chapter in the larger history of the expansion of Bantu languages across eastern, central, and southern Africa. It focuses on the expansion of proto-Kafue, ca. 950–1250, from a linguistic homeland in the middle Kafue River region to lands beyond the Lukanga swamps to the north and the Zambezi River to the south. This expansion was made possible by a dramatic reconfiguration of ties of kinship. The second case study explores linguistic evidence for ridicule along the Lozi-Botatwe frontier in the mid- to late 19th century. Significantly, the units and scales of language movement and change in precolonial periods rendered visible through comparative historical linguistics bring to our attention alternative approaches to language change and movement in contemporary Africa.

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