scholarly journals Making multiplication meaningful: Teaching for conceptual understanding

2019 ◽  
Vol 19 (1) ◽  
pp. 17-25
Author(s):  
Judith Mills

  The term numeracy is used widely in schools today and brings with it the expectation that students will be taught both how to do the mathematics, alongside an understanding of the concepts associated with the procedural application. One issue, which has arisen with the terminology ‘numeracy classroom’, is how to best support teachers to enhance their teaching of mathematics to allow this understanding to occur. This article stems from a larger research study that analysed the professional knowledge of teachers when teaching numeracy, and the impact their mathematics knowledge and procedural application had on children’s learning. This article presents observations of three teachers teaching a multiplication lesson (the first in a series of lessons over a six-week period) as they developed their students’ understanding of the mathematical concepts associated with the interpretation of the multiplication symbol. An analysis of the findings shows when the teachers used manipulatives, related word problems to the children’s lives, and promoted discussion in groups, a greater understanding of multiplication was apparent.    

Energies ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 878 ◽  
Author(s):  
Oliwia Pietrzak ◽  
Krystian Pietrzak

This paper focuses on effects of implementing zero-emission buses in public transport fleets in urban areas in the context of electromobility assumptions. It fills the literature gap in the area of research on the impact of the energy mix of a given country on the issues raised in this article. The main purpose of this paper is to identify and analyse economic effects of implementing zero-emission buses in public transport in cities. The research area was the city of Szczecin, Poland. The research study was completed using the following research methods: literature review, document analysis (legal acts and internal documents), case study, ratio analysis, and comparative analysis of selected variants (investment variant and base variant). The conducted research study has shown that economic benefits resulting from implementing zero-emission buses in an urban transport fleet are limited by the current energy mix structure of the given country. An unfavourable energy mix may lead to increased emissions of SO2 and CO2 resulting from operation of this kind of vehicle. Therefore, achieving full effects in the field of electromobility in the given country depends on taking concurrent actions in order to diversify the power generation sources, and in particular on increasing the share of Renewable Energy Sources (RES).


Author(s):  
Alexander P. Parobek ◽  
Patrick M. Chaffin ◽  
Marcy H. Towns

Reaction coordinate diagrams (RCDs) are chemical representations widely employed to visualize the thermodynamic and kinetic parameters associated with reactions. Previous research has demonstrated a host of misconceptions students adopt when interpreting the perceived information encoded in RCDs. This qualitative research study explores how general chemistry students interpret points and trends on a RCD and how these interpretations impact their inferences regarding the rate of a chemical reaction. Sixteen students participated in semi-structured interviews in which participants were asked to interpret the points and trends along provided RCDs and to compare relative reaction rates between RCDs. Findings derived from this study demonstrate the diversity of graphical reasoning adopted by students, the impact of students’ interpretations of the x-axis of a RCD on the graphical reasoning employed, and the influence of these ideas on inferences made about reaction rate. Informed by analytical frameworks grounded in the resources framework and the actor-oriented model of transfer, implications for instruction are provided with suggestions for how RCDs may be presented to assist students in recognizing the critical information encoded in these diagrams.


2019 ◽  
Vol 9 (3) ◽  
pp. 319-328
Author(s):  
Ian Pepper ◽  
Ruth McGrath

Purpose The purpose of this paper is to evaluate the impact of an employability module, the College of Policing Certificate in Knowledge of Policing (CKP), on students’ career aspirations, their confidence and wish to join the police along with the appropriateness of the module. This will inform the implementation of employability as part of the College of Policing-managed Police Education Qualifications Framework (PEQF). Design/methodology/approach A three-year longitudinal research study used mixed methods across four points in time to evaluate the impact on students studying the employability module. Findings The research suggests that the employability-focussed CKP was useful as an introduction to policing, it developed interest in the police and enhanced the confidence of learners applying to join. Lessons learnt from the CKP should be considered during the implementation of the PEQF. Research limitations/implications The ability to generalise findings across different groups is limited as other influences may impact on a learner’s confidence and employability. However, the implications for the PEQF curriculum are worthy of consideration. Practical implications As the police service moves towards standardised higher educational provision and evolution of policing as a profession, lessons can be learnt from the CKP with regards to the future employability of graduates. Originality/value Enhancing the employability evidence base, focussing on policing, the research identified aspects which may impact on graduates completing a degree mapped to the PEQF. The research is therefore of value to higher education and the professional body for policing.


2010 ◽  
Vol 35 (2) ◽  
pp. 169-179 ◽  
Author(s):  
Dina L.G. Borzekowski ◽  
Holly K. Henry

Jalan Sesama was developed to address the developmental needs of Indonesian children ages 3 to 6 years. Using a randomized experimental research study design, this study examined the effect of a 14-week intervention on 160 children in the Pandeglang District in Indonesia’s Banten Province. Results offer solid evidence that early cognitive skills, literacy, mathematics, health and safety knowledge, social development, environmental awareness, and cultural awareness significantly improved from baseline to post-intervention. Those with the greatest exposure to Jalan Sesama performed the best, even after controlling for baseline scores, gender, age, and parents’ education. This paper describes how an educational media intervention can have great benefits, even in locales where the children face difficult hardships and lack basic resources.


Homeopathy ◽  
2021 ◽  
Author(s):  
Renata Lemonica ◽  
Karina Pavao Patricio

Abstract Background Homeopathy has been experiencing a period of expansion in Brazil due to its practical relevance in the face of new global and national health demands, culminating in the launch in 2006 of the National Policy for Integrative and Complementary Practices (NPICP) by the Ministry of Health of Brazil, which standardized and regularized the position of homeopathy within the Brazilian Unified Health System (SUS). Aims To understand the impact of the guidelines proposed by the NPICP on homeopathy services in the SUS, specifically in the south-east region of Brazil, according to the perceptions of their managers. Methods This is a descriptive, exploratory research study with a qualitative approach, conducted in homeopathy services in the south-east region of Brazil, through semi-structured interviews and with data processed using content analysis. Results The data show the importance of the NPICP in regulating and offering homeopathy in the services studied. However, the NPICP's objective of promoting and fully developing integrative and complementary practices has not been achieved because it has failed to translate strategies into actions. Conclusions Though important to the development of homeopathy services in any given location, policies stated in the NPICP were revealed to have limited impact on the implementation and development of new services. Without further legislation, training programs and appropriate budget allocation, new services will be unable to thrive and their users unable to benefit from a more comprehensive approach to healthcare.


2019 ◽  
Vol 11 (3) ◽  
pp. 663 ◽  
Author(s):  
Petra Simonova ◽  
Jan Cincera ◽  
Roman Kroufek ◽  
Sarka Krepelkova ◽  
Andreas Hadjichambis

This study analyses the Active Citizens program conducted in seven Czech elementary schools in 2017/2018. The data were obtained in a mixed-design research study containing pre/post experimental/control groups (N = 114), eight focus groups with selected students (N = 56), and group interviews with teachers (N = 14). The mean age of the students was 13.8 years. The study focuses on the students’ and the teachers’ perception of the process, the program’s barriers and benefits, and on the impact of the program on the students’ self-efficacy and on perceived democratic school culture. The analysis revealed that while the participants felt empowered because of their experience, they started to perceive their school environment as less democratic than before the program. The program also likely influenced girls more than boys as the latter seem to have been unaffected. Finally, the implications of the findings for the practice are discussed.


2019 ◽  
Vol 21 (2) ◽  
pp. 243-259
Author(s):  
Frank Giraldo ◽  
Daniel Murcia Quintero

Language Assessment Literacy (LAL) research has focused on defining the knowledge, skills, and principles that the stakeholders involved in language assessment activities are required to master. However, there is scarce research on the relationship between LAL and the professional development of language teachers. Therefore, this exploratory action research study examined the impact of a language assessment course on pre-service teachers in a Colombian language teaching programme. Data were collected through questionnaires, interviews, teacher and researcher journals and class observations. The findings show that the course promoted theoretical, technical and operational dimensions in the language assessment design practices of the participants. In addition, it enhanced their LAL and professional development. Consequently, this study contends that the LAL course changed language assessment perceptions radically and encouraged pre-service teachers to design assessments conscientiously, a feature not explicitly stated in LAL research involving this group of stakeholders elsewhere.


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