https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 On the irrationality measure of π² https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14100 Wed 28 Mar 2018 14:07:54 AEDT ]]> Music and numeracy https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:35973 Wed 22 Jan 2020 11:24:09 AEDT ]]> When girls do masculinity like boys do: establishing gender heteroglossia in school mathematics participation https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40897 Wed 20 Jul 2022 09:52:39 AEST ]]> The case for a mathematics of structural transformation and genesis: Whitehead against Badiou? https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11833 Wed 11 Apr 2018 17:11:46 AEST ]]> Exploratory experimentation and computation https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12975 Wed 11 Apr 2018 16:51:30 AEST ]]> Teachers' planning processes: seeking insights from Australian teachers https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:15796 Wed 11 Apr 2018 16:35:55 AEST ]]> Paulus Gerdes, Awakening of geometrical thoughts in early culture (book review) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3598 Wed 11 Apr 2018 15:58:06 AEST ]]> Experimental computation with oscillatory integrals https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10649 Wed 11 Apr 2018 15:40:07 AEST ]]> The mathematics of spatial transparency and mystery: using syntactical data to visualise and analyse the properties of the Yuyuan Garden https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:27268 Wed 11 Apr 2018 15:37:04 AEST ]]> Ramanujan and Pi https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12976 Wed 11 Apr 2018 14:52:58 AEST ]]> A new lower bound for ||(3/2)<sup>k</sup>|| https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11922 k to the nearest integer is greater than 0.5803^k.]]> Wed 11 Apr 2018 14:37:16 AEST ]]> Maths matters: exploratory experimentation: digitally-assisted discovery and proof https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12977 Wed 11 Apr 2018 13:41:27 AEST ]]> Emerging tools for experimental mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12963 Wed 11 Apr 2018 13:12:07 AEST ]]> Villalpando's sacred architecture in the light of Isaac Newton's commentary https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:5824 Wed 11 Apr 2018 13:00:36 AEST ]]> Irrationality of certain numbers that contain values of the di- and trilogarithm https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10010 Wed 11 Apr 2018 12:43:40 AEST ]]> The Encouraging Activity to Stimulate Young Minds Study: a curriculum-based physical activity intervention to enhance learning and health outcomes in the primary school https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22641 Wed 11 Apr 2018 12:36:23 AEST ]]> The Princeton companion to mathematics (book review) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:7551 Wed 11 Apr 2018 12:35:57 AEST ]]> Tree actions associated with the scale of an automorphism of a totally disconnected locally compact group https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17152 Wed 11 Apr 2018 11:57:53 AEST ]]> High-precision computation and mathematical physics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13529 Wed 11 Apr 2018 11:29:42 AEST ]]> Outcomes and process evaluation of a programme integrating physical activity into the primary school mathematics curriculum: the EASY minds pilot randomised controlled trial https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26881 Wed 11 Apr 2018 10:35:39 AEST ]]> Rationale and study protocol of the EASY Minds (encouraging activity to stimulate young minds) program: cluster randomized controlled trial of a primary school-based physical activity integration program for mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:15545 Wed 11 Apr 2018 10:07:00 AEST ]]> Tools for teaching computational mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:15499 Wed 11 Apr 2018 09:18:18 AEST ]]> Nutrition across the primary school curriculum: development and evaluation of an integrative nutrition and portion size education program https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:44661 Wed 06 Mar 2024 15:12:50 AEDT ]]> Kick-Smart Education: promoting academic achievement, fitness and wellbeing in primary school-aged children through martial arts https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:51098 Wed 06 Mar 2024 14:33:40 AEDT ]]> Is content or interest and enthusiasm of mathematics teachers more important? https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:35576 Wed 04 Sep 2019 11:32:47 AEST ]]> The metric dimension of the circulant graph C(n,±{1,2,3,4}) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:33940 Wed 04 Sep 2019 10:04:28 AEST ]]> Numeracy across the curriculum: a pathway to critical thinking https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:33852 Wed 04 Sep 2019 09:48:15 AEST ]]> A metapopulation model of tuberculosis transmission with a case study from high to low burden areas https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11155 Tue 24 Aug 2021 14:35:03 AEST ]]> Bounds on minors of binary matrices https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13816 Tue 24 Aug 2021 14:28:05 AEST ]]> Printing of PEDOT:PSS for top gate organic thin film transistor https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:43887 Tue 04 Oct 2022 13:52:34 AEDT ]]> Sufficient conditions for graphs to be maximally 4-restricted edge connected https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:33000 k(G), is defined as the cardinality of a minimum k-restricted edge cut. A connected graph G is said to be λ_k-connected if G has a k-restricted edge cut. Let ξ_k(G) = min{|[X, ̅X ]| : |X| = k, G[X] is connected}, where ̅X = V (G)X. A graph G is said to be maximally k-restricted edge connected if λ_k(G) = ξ_k(G). In this paper we show that if G is a λ₄-connected graph with λ₄(G) ≤ ξ₄(G) and the girth satisfies g(G) ≥ 8, and there do not exist six vertices u₁, u₂, u₃, v₁, v₂ and v₃ in G such that the distance d(u_i, v_j) ≥ 3, (1 ≤ i, j ≤ 3), then G is maximally 4-restricted edge connected.]]> Tue 03 Sep 2019 18:17:58 AEST ]]> Many values of the Riemann zeta function at odd integers are irrational https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:33002 s are irrational, where ε is any positive real number and s is large enough in terms of ε. This improves on the lower bound [formula could not be replicated] log s that follows from the Ball-Rivoal theorem. We give the main ideas of the proof, which is based on an elimination process between several linear forms in odd zeta values with related coefficients.]]> Tue 03 Sep 2019 18:00:24 AEST ]]> Australian curriculum, classroom approaches: Mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14515 Thu 31 Jul 2014 15:40:29 AEST ]]> Resolvability of graphs https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28963 Thu 26 Jul 2018 16:56:33 AEST ]]> An investigation of the initiation process of pre-school children into the culture of a formal mathematics education program in the first year at school https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22417 Thu 22 Sep 2016 11:02:44 AEST ]]> On the educational legacies of Jonathan M. Borwein https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40489 Thu 14 Jul 2022 08:56:09 AEST ]]> Evaluation of mathematics teaching strategies in Australian high schools https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40477 Thu 14 Jul 2022 08:52:12 AEST ]]> Socio-economic status and gender-based analysis of the effect of mathematics anxiety on mathematics performance among secondary students https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:44416 Thu 13 Oct 2022 09:37:50 AEDT ]]> Effectiveness of teaching strategies in mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34094 Thu 07 Feb 2019 12:40:58 AEDT ]]> Algebraic relations for multiple zeta values https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11933 Sat 24 Mar 2018 11:09:03 AEDT ]]> An elementary proof of the irrationality of Tschakaloff series https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11923 q(z)= ∞/∑/n=0 zⁿq^-n(n-1)/2 in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to T_q(z).]]> Sat 24 Mar 2018 11:09:02 AEDT ]]> Exploratory experimentation: digitally-assisted discovery and proof https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13527 Sat 24 Mar 2018 10:35:13 AEDT ]]> Heine's basic transform and a permutation group for q-harmonic series https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11940 Sat 24 Mar 2018 10:31:59 AEDT ]]> Loving and Hating Mathematics by Reuben Hersh & Vera John-Steiner (book review) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11718 Sat 24 Mar 2018 10:31:22 AEDT ]]> The fractal dimension of architecture https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26669 Sat 24 Mar 2018 10:16:21 AEDT ]]> Villalpando’s sacred architecture in the light of Isaac Newton’s commentary https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:31175 Ezechielem Explanationes et Apparatus Vrbis Templi Hierosolymitani, and deals with the first 26 chapters of Ezekiel and was mainly written by Prado. However, Prado died before the publication of this volume and Villalpando was left to complete the project alone. Volumes II and III were subsequently published in 1604. Volume II, De Postrema Ezechielis Prophetae Visione, contains Villalpando’s famous reconstruction of the Temple along with his justification for it. Volume III, Apparatus Vrbis ac Templi Hiersolymitani, consists of explanatory notes for the first two volumes. The overall project is a massive body of extraordinary and detailed scholarship. Villalpando was a highly skilled architect and draftsman and his reconstruction of the Temple is illustrated by a portfolio of exceptionally detailed architectural drawings. The project was an expensive one and it was only made possible through the financial support of Philip II of Spain. Villalpando studied mathematics under the royal architect, Juan de Herrera, who at that time was involved with the construction of the Escorial. Herrera had an extensive library of books on the occult; these books indicated a strong interest in Hermetism, which is also supported by Herrera’s treatise Sobre la figura cúbica (1935) on the Hermetic philosopher Ramón Lull. Fundamentally, Renaissance Hermetism promulgated a belief in an astrologically ordered cosmology where a geo-centric universe was divided into three worlds: the world of man, the celestial world of the planets and the fixed stars, and the super-celestial world of God (Taylor 1972: 63–64). The Christian Hermetism that was practiced in the Renaissance was a combination of Christianity and prisca theologia (ancient Knowledge). Ancient mystical mathematics of music, geometry and arithmetic became prominent in Renaissance Hermetism. This atmosphere of Hermetic learning pervaded the Spanish Court, affecting even Philip II himself, and Villalpando’s In Ezechielem Explanationes was a product of this atmosphere.]]> Sat 24 Mar 2018 08:42:57 AEDT ]]> The computer as crucible: an introduction to experimental mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:8434 Sat 24 Mar 2018 08:40:47 AEDT ]]> Louis Kahn's Platonic approach to number and geometry https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:2283 Sat 24 Mar 2018 08:26:59 AEDT ]]> Dynamic composition of math lessons https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13815 Sat 24 Mar 2018 08:22:44 AEDT ]]> Theology and the event: the ambivalence of Alain Badiou https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:15782 Sat 24 Mar 2018 08:20:04 AEDT ]]> A mathematical programming based decision support tool for force allocation https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12955 Sat 24 Mar 2018 08:18:28 AEDT ]]> Knowledge and community in mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13091 Sat 24 Mar 2018 08:15:37 AEDT ]]> Response to "Experimental approaches to theoretical thinking: artefacts and proofs" https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12416 Sat 24 Mar 2018 08:14:54 AEDT ]]> Mean Lipschitzian mappings https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11122 Sat 24 Mar 2018 08:13:18 AEDT ]]> Sampling approximations for time- and bandlimiting https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10487 Sat 24 Mar 2018 08:09:15 AEDT ]]> Convex functions: constructions, characterizations and counterexamples https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:9773 Sat 24 Mar 2018 08:09:05 AEDT ]]> Techniques of variational analysis https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:9774 Sat 24 Mar 2018 08:09:05 AEDT ]]> Mathematics by experiment: plausible reasoning in the 21st century https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10402 Sat 24 Mar 2018 08:07:48 AEDT ]]> Grouping for inequity https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19049 Sat 24 Mar 2018 08:05:17 AEDT ]]> Intersections between architecture and mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:20758 Sat 24 Mar 2018 08:00:25 AEDT ]]> Pharmacometrics: so much mathematics and why planes achieve their destinations with almost perfect results... https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:21163 Sat 24 Mar 2018 07:58:06 AEDT ]]> On the nonexistence of almost Moore digraphs https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:20998 1, diameter at most k>1 and order N(d,k)=d+⋯+d^k are called almost Moore or(d,k)-digraphs. So far, the problem of their existence has been solved only when d=2,3 or k=2,3,4. In this paper we derive the nonexistence of (d,k)-digraphs, with k>4 and d>3, under the assumption of a conjecture related to the factorization of the polynomials Φ_n(1+x+⋯+x^k), where Φn(x) denotes the nnth cyclotomic polynomial and 1 Sat 24 Mar 2018 07:50:39 AEDT ]]> The life of Simon Fitzpatrick, 1953-2004 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6598 Sat 24 Mar 2018 07:45:48 AEDT ]]> Characteristic visual complexity: fractal dimensions in the architecture of Frank Lloyd Wright and Le Corbusier https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:5826 Sat 24 Mar 2018 07:44:49 AEDT ]]> Two finite element methods for nearly incompressible linear elasticity using simplicial meshes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28458 Sat 24 Mar 2018 07:39:37 AEDT ]]> On (a, d)-distance antimagic graphs https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:27668 Sat 24 Mar 2018 07:38:51 AEDT ]]> On the augmented Lagrangian dual for integer programming https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:27961 Sat 24 Mar 2018 07:38:45 AEDT ]]> The L-shape search method for triobjective integer programming https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:27958 Sat 24 Mar 2018 07:38:44 AEDT ]]> Mathematics in, of and for architecture: a framework of types https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28389 Sat 24 Mar 2018 07:36:01 AEDT ]]> Relationships between architecture and mathematics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28390 Sat 24 Mar 2018 07:36:00 AEDT ]]> "It just takes so much time!" a study of teachers' use of ICT to convey relevance of mathematical content https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:25485 Sat 24 Mar 2018 07:30:03 AEDT ]]> The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26741 Sat 24 Mar 2018 07:24:47 AEDT ]]> Wilson, Sir John (1741–1793) https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3610 Sat 24 Mar 2018 07:21:57 AEDT ]]> Interdisciplinary teaching of statistics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22937 Sat 24 Mar 2018 07:16:49 AEDT ]]> Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:38425 Mon 29 Jan 2024 17:59:37 AEDT ]]> Girls in Maths research project: extension report https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:36985 Mon 27 Jul 2020 15:28:29 AEST ]]> Physical education and numeracy https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32616 Mon 25 Jun 2018 15:45:28 AEST ]]> Assessment of anxiety on mathematics for students in secondary school in Qatar https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32415 Mon 23 Sep 2019 14:00:18 AEST ]]> Movement-based mathematics: enjoyment and engagement without compromising learning through the EASY Minds program https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32762 Mon 23 Sep 2019 12:48:42 AEST ]]> The Kick-Smart Program: A Randomised Feasibility Trial Evaluating the Feasibility and Efficacy of a Primary-School Based Martial Arts Program Integrating Mathematics, Physical Fitness and Well-Being https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:46286 Mon 14 Nov 2022 16:02:58 AEDT ]]> Senior secondary student participation in STEM: beyond national statistics https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:38059 Fri 30 Jul 2021 12:35:09 AEST ]]> A Scoping Review of Studies on Computational Thinking in K-12 Mathematics Classrooms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:45470 Fri 28 Oct 2022 14:29:49 AEDT ]]> Exploring the association between self-efficacy and future utility beliefs in mathematics: A practical tutorial on correspondence analysis https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:51950 Fri 22 Sep 2023 17:04:13 AEST ]]> Improving student achievement through professional development: results from a randomised controlled trial of Quality Teaching Rounds https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:38355 n = 5478). Outcomes at baseline and 8-month follow-up were compared for QTR, QTR trainer-led, peer-observation, and wait-list control groups. Students in the QTR group made 25% more progress in mathematics than the control group (g = 0.12, 95% CI: 0.07-0.17). This result supports QTR as a form of PD with significant potential for wider impact.]]> Fri 19 Aug 2022 14:18:20 AEST ]]> Teaching and learning for numeracy competence https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:35938 Fri 17 Jan 2020 13:27:10 AEDT ]]> The mathematical brain https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:35939 Fri 17 Jan 2020 13:27:08 AEDT ]]> The impact of mathematics and statistics support at the academic learning centre, Central Queensland University https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:37312 Fri 02 Oct 2020 10:52:07 AEST ]]>