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Adrian Oldknow

  • Since retirement Adrian takes an active role in school-based research and development projects involving ICT - both i... moreedit
2. The open rectangular box with the greatest volume This is often called, in the vernacular of sixth-form mathematics, the maxbox problem. A square sheet of card of side 1 metre has four identical squares removed, one from each corner,... more
2. The open rectangular box with the greatest volume This is often called, in the vernacular of sixth-form mathematics, the maxbox problem. A square sheet of card of side 1 metre has four identical squares removed, one from each corner, and is folded up to form an open box. ...
This article considers the use of a range of computer tools for aiding geometric exploration, together with a suitable algebraic representation for objects connected with the triangle. The techniques are applied to produce new results in... more
This article considers the use of a range of computer tools for aiding geometric exploration, together with a suitable algebraic representation for objects connected with the triangle. The techniques are applied to produce new results in the geometry of the triangle. This is an extended ...
The circumcentre O, centroid G and orthocentre H of a triangle are collinear in the Euler line. However the incentre I lies on the Euler line only if the triangle is isosceles. In general I belongs, together with three other centres Ge,... more
The circumcentre O, centroid G and orthocentre H of a triangle are collinear in the Euler line. However the incentre I lies on the Euler line only if the triangle is isosceles. In general I belongs, together with three other centres Ge, S, S' (the Gergonne point and the inner- ...
Many countries are exploring different approaches to create a more relevant mathematics curriculum through the use of real world examples in the classroom. In this paper we will share some of the classroom video resources that have been... more
Many countries are exploring different approaches to create a more relevant mathematics curriculum through the use of real world examples in the classroom. In this paper we will share some of the classroom video resources that have been developed since the last ICTMT: the series World of Maths (Teachers TV 2008) and i-Maths (British Broadcasting Corporation 2008). This also complements the UK’s “STEM” (Science, Technology, Engineering and Mathematics) agenda (Her Majesty's Treasury 2004) which aims to promote STEM subjects to the populus and increase student uptake in STEM related careers and courses.
Many countries are seeking ways of encouraging more secondary school students to specialize in science, technology, engineering and mathematics (STEM). The talk will include examples of ICT-based activities used in some current school... more
Many countries are seeking ways of encouraging more secondary school students to specialize in science, technology, engineering and mathematics (STEM). The talk will include examples of ICT-based activities used in some current school based projects to help make mathematics more exciting, relevant and challenging to young learners. These include the use of digital images and video clips to stimulate modeling with 2D geometry and algebra; the use of 3D geometry software to develop visualization and modeling in space; and the use of hand-held devices with dataloggers in capturing and analyzing for experimental data.
The UK has seen a worrying decline in the number of students taking up Higher Education courses in both Mathematics and ICT. The opportunity exists within an A-level mathematics course for teachers and students to use technology in an... more
The UK has seen a worrying decline in the number of students taking up Higher Education courses in both Mathematics and ICT. The opportunity exists within an A-level mathematics course for teachers and students to use technology in an imaginative way to enhance the learning experience and to encourage students to consider further study in either discipline.Students taking A-level are taught in a variety of institutions. An A-level mathematics class in an 11-18 school could be a small cohesive group with similar background, prior learning experiences and familiarity with the use of ICT in mathematics. A class in a Further Education college is likely to be much larger and to include students from a wide range of previous institutions whose experiences both with regards to teaching and learning styles and to their use of ICT could vary widely.Catering for the individual teacher and student in these diverse circumstances can be a big deterrent to the use of technology, so in the ICTAM (...
There has been a rapid increase in the range and extent of the applications of mathematics in modelling and solving industrial and commercial problems. Central to this has been the rapid increase in the power and availability of computing... more
There has been a rapid increase in the range and extent of the applications of mathematics in modelling and solving industrial and commercial problems. Central to this has been the rapid increase in the power and availability of computing systems. Many large companies employ mathematics graduates as mathematical modellers and form interdisciplinary teams involving, for example, mathematicians, informaticians, scientists and technologists in tackling particular problems. Many smaller companies share common technical problems and buy ‘off-the-shelf’ mathematical software packages from a range of software houses which themselves employ mathematical modellers and inter-disciplinary teams.
To help meet an educational and societal requirement for all students to enjoy, have confidence and ability in creativity and technology, the “Kids Inspiring Kids in STEAM” (KIKS) EU project adopted an intensive Hothousing process... more
To help meet an educational and societal requirement for all students to enjoy, have confidence and ability in creativity and technology, the “Kids Inspiring Kids in STEAM” (KIKS) EU project adopted an intensive Hothousing process challenging students in Finland, Spain, Hungary and the United Kingdom to engage in collaborative problem solving to develop solutions to: “How would you get your schoolmates to LOVE STEAM?” The project provided a process and technology toolkit for students, including those with special educational needs, to achieve their solutions.A completion rate of 90% suggested that all schools and students could cope with and enjoy the process and associated technology toolkit, which featured social media plus Micro:bit, Tracker and GeoGebra for data collection and modelling.We have extended the toolkit with simulation software and a graphical programming environment to produce realistic animations of objects in motion. Thus students will have a creativity and techno...
This is the second of two articles presenting new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. In Part 1 [1], after a brief résumé of the Soddy theorems in two dimensions, we... more
This is the second of two articles presenting new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. In Part 1 [1], after a brief résumé of the Soddy theorems in two dimensions, we stated the corresponding theorems in three dimensions, discovered partly as the result of computer investigations. These threedimensional Soddy theorems are valid only for a special type of tetrahedron - the four-ball tetrahedron - and we went on to prove some basic results about such tetrahedra.
New discoveries about the Soddy circles of a triangle were published in the Gazette [1] in 1995; they are summarised below. Extensions of wellknown results in the geometry of the triangle to that of the tetrahedron were presented by... more
New discoveries about the Soddy circles of a triangle were published in the Gazette [1] in 1995; they are summarised below. Extensions of wellknown results in the geometry of the triangle to that of the tetrahedron were presented by Zeeman in his 2004 Presidential Address at the Mathematical Association Conference in York [2]. Using the computer software package Cabri 3D, we have discovered new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. This article is the first of two which present our discoveries, as well as relevant aspects of the established geometry of tetrahedra, together with their proofs.
The journal provides a forum for the exchange of ideas and experiences which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level.... more
The journal provides a forum for the exchange of ideas and experiences which contribute to the improvement of mathematics teaching and learning for students from upper secondary/high school level through to university first degree level. A distinctive feature of the journal is its ...
Introduction MICROCOMPUTERS are becoming cheaper, more compact and yet more powerful. They are to be found in the homes of many pupils and students and also in their schools and colleges. Programs and packages available for microcomputers... more
Introduction MICROCOMPUTERS are becoming cheaper, more compact and yet more powerful. They are to be found in the homes of many pupils and students and also in their schools and colleges. Programs and packages available for microcomputers are also becoming ...
... ADRIAN OLOKNOW, FIMA West Sussex Institute of Higher Education ... MODE 1 : PROCaxts PROCplot END DEF PROCaxes VDU 29,100:100; HOVE 1000,0 : DRAW 0,0 DRAW 0 , 1 0 0 0 EMDPROC DEF PROCplot x • time • 50 CCOL 0,1 : y - PLOT 69, x, y... more
... ADRIAN OLOKNOW, FIMA West Sussex Institute of Higher Education ... MODE 1 : PROCaxts PROCplot END DEF PROCaxes VDU 29,100:100; HOVE 1000,0 : DRAW 0,0 DRAW 0 , 1 0 0 0 EMDPROC DEF PROCplot x • time • 50 CCOL 0,1 : y - PLOT 69, x, y CCOL 0,2 : y . PLOT ...
In an earlier article I looked at how image files, such as a JPEG file from a digital camera, can be imported in dynamic geometry software and how both geometric and algebraic tools can be used to superimpose objects, loci and graphs. In... more
In an earlier article I looked at how image files, such as a JPEG file from a digital camera, can be imported in dynamic geometry software and how both geometric and algebraic tools can be used to superimpose objects, loci and graphs. In this article, we look at simple tools for ...
... PWXdrav 3010 (OK line •= 1 TO straws 3020 first = First(line) : last = Last(line) : colour = Colour(line) 3030 GCOL 0,colour 3040 FROCprojectl first) : HOVE X,Y 3050 ... 20 REM Adrian, 24th January 1987 110 Joins - 10 120 Straws - 11... more
... PWXdrav 3010 (OK line •= 1 TO straws 3020 first = First(line) : last = Last(line) : colour = Colour(line) 3030 GCOL 0,colour 3040 FROCprojectl first) : HOVE X,Y 3050 ... 20 REM Adrian, 24th January 1987 110 Joins - 10 120 Straws - 11 1060 DATA 0,0,0, 1,0,0, 1,0,1, 0,0,1 1070 ...
AT LAST the Dearing report on Higher Education has seen the light of day. So now is the time to apply for a bank loan in order to get your copy (a snip at £25)! Within its general recommendations are several references to teaching, and to... more
AT LAST the Dearing report on Higher Education has seen the light of day. So now is the time to apply for a bank loan in order to get your copy (a snip at £25)! Within its general recommendations are several references to teaching, and to what is now called C&IT = Communication and ...
... Click on any of the links below to perform a new search. ERIC #: EJ244675. Title: Scampi and Chips: Computers on the Mathematics Menu. Authors: Ahmed, Afzal; Oldknow, Adrian. Descriptors: Computer Assisted Instruction; Computer ...

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