991 resultados para HIGH-FIGURE


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The angle concept is a multifaceted concept having static and dynamic definitions. The static definition of the angle refers to “the space between two rays” or “the intersection of two rays at the same end point” (Mitchelmore & White, 1998), whereas the dynamic definition of the angle concept highlights that the size of angle is the amount of rotation in direction (Fyhn, 2006). Since both definitions represent two diverse situations and have unique limitations (Henderson & Taimina, 2005), students may hold misconceptions about the angle concept. In this regard, the aim of this research was to explore high achievers’ knowledge regarding the definition of the angle concept as well as to investigate their erroneous answers on the angle concept.

104 grade 6 students drawn from four well-established elementary schools of Yozgat, Turkey were participated in this research. All participants were selected via a purposive sampling method and their mathematics grades were 4 or 5 out of 5, and. Data were collected through four questions prepared by considering the learning competencies set out in the grade 6 curriculum in Turkey and the findings of previous studies whose purposes were to identify students’ misconceptions of the angle concept. The findings were analyzed by two researchers, and their inter-rater agreement was calculated as 0.91, or almost perfect. Thereafter, coding discrepancies were resolved, and consensus was established.

The angle concept is a multifaceted concept having static and dynamic definitions.The static definition of the angle refers to “the space between two rays” or“the intersection of two rays at the same end point” (Mitchelmore & White, 1998), whereas the dynamicdefinition of the angle concept highlights that the size of angle is the amountof rotation in direction (Fyhn, 2006). Since both definitionsrepresent two diverse situations and have unique limitations (Henderson & Taimina, 2005), students may holdmisconceptions about the angle concept. In this regard, the aim of thisresearch was to explore high achievers’ knowledge regarding the definition ofthe angle concept as well as to investigate their erroneous answers on theangle concept.

104grade 6 students drawn from four well-established elementary schools of Yozgat,Turkey were participated in this research. All participants were selected via a purposive sampling method and their mathematics grades were 4 or 5 out of 5,and. Data were collected through four questions prepared by considering the learning competencies set out in the grade 6 curriculum in Turkey and the findings of previous studies whose purposes were to identify students’ misconceptions of the angle concept. The findings were analyzed by two researchers, and their inter-rater agreement was calculated as 0.91, or almost perfect. Thereafter, coding discrepancies were resolved, and consensus was established.

In the first question, students were asked to answer a multiple choice questions consisting of two statics definitions and one dynamic definition of the angle concept. Only 38 of 104 students were able to recognize these three definitions. Likewise, Mitchelmore and White (1998) investigated that less than10% of grade 4 students knew the dynamic definition of the angle concept. Additionally,the purpose of the second question was to figure out how well students could recognize 0-degree angle. We found that 49 of 104 students were unable to recognize MXW as an angle. While 6 students indicated that the size of MXW is0, other 6 students revealed that the size of MXW is 360. Therefore, 12 of 104students correctly answered this questions. On the other hand, 28 of 104students recognized the MXW angle as 180-degree angle. This finding demonstrated that these students have difficulties in naming the angles.Moreover, the third question consisted of three concentric circles with center O and two radiuses of the outer circle, and the intersection of the radiuses with these circles were named. Then, students were asked to compare the size of AOB, GOD and EOF angles. Only 36 of 104 students answered correctly by indicating that all three angles are equal, whereas 68 of 104 students incorrectly responded this question by revealing AOB<GOD< EOF. These students erroneously thought the size of the angle is related to either the size of the arc marking the angle or the area between the arms of the angle and the arc marking angle. These two erroneous strategies for determining the size of angles have been found by a few studies (Clausen-May,2008; Devichi & Munier, 2013; Kim & Lee, 2014; Mithcelmore, 1998;Wilson & Adams, 1992). The last question, whose aim was to determine how well students can adapt theangle concept to real life, consisted of an observer and a barrier, and students were asked to color the hidden area behind the barrier. Only 2 of 104students correctly responded this question, whereas 19 of 104 students drew rays from the observer to both sides of the barrier, and colored the area covered by the rays, the observer and barrier. While 35 of 104 students just colored behind the barrier without using any strategies, 33 of 104 students constructed two perpendicular lines at the both end of the barrier, and colored behind the barrier. Similarly, Munier, Devinci and Merle (2008) found that this incorrect strategy was used by 27% of students.

Consequently, we found that although the participants in this study were high achievers, they still held several misconceptions on the angle concept and had difficulties in adapting the angle concept to real life.

Keywords: the angle concept;misconceptions; erroneous answers; high achievers

References

Clausen-May, T. (2008). AnotherAngle on Angles. Australian Primary Mathematics Classroom, 13(1),4–8.

Devichi, C., & Munier, V.(2013). About the concept of angle in elementary school: Misconceptions andteaching sequences. The Journal of Mathematical Behavior, 32(1),1–19. http://doi.org/10.1016/j.jmathb.2012.10.001

Fyhn, A. B. (2006). A climbinggirl’s reflections about angles. The Journal of Mathematical Behavior, 25(2),91–102. http://doi.org/10.1016/j.jmathb.2006.02.004

Henderson, D. W., & Taimina,D. (2005). Experiencing geometry: Euclidean and non-Euclidean with history(3rd ed.). New York, USA: Prentice Hall.

Kim, O.-K., & Lee, J. H.(2014). Representations of Angle and Lesson Organization in Korean and AmericanElementary Mathematics Curriculum Programs. KAERA Research Forum, 1(3),28–37.

Mitchelmore, M. C., & White,P. (1998). Development of angle concepts: A framework for research. MathematicsEducation Research Journal, 10(3), 4–27.

Mithcelmore, M. C. (1998). Youngstudents’ concepts of turning and angle. Cognition and Instruction, 16(3),265–284.

Munier, V., Devichi, C., &Merle, H. (2008). A Physical Situation as a Way to Teach Angle. TeachingChildren Mathematics, 14(7), 402–407.

Wilson, P. S., & Adams, V.M. (1992). A Dynamic Way to Teach Angle and Angle Measure. ArithmeticTeacher, 39(5), 6–13.

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Cette thèse examine l’interprétation et l’application, par l’Haute Cour d'Israël (HCJ), de principes du droit international de l’occupation et du droit international des droits de la personne dans le traitement de requêtes judiciaires formulées par des justiciables palestiniens. Elle s’intéresse plus particulièrement aux jugements rendus depuis le déclenchement de la deuxième Intifada (2000) suite à des requêtes mettant en cause la légalité des mesures adoptées par les autorités israéliennes au nom d’un besoin prétendu d’accroitre la sécurité des colonies et des colons israéliens dans le territoire occupé de la Cisjordanie. La première question sous étude concerne la mesure dans laquelle la Cour offre un recours effectif aux demandeurs palestiniens face aux violations alléguées de leurs droits internationaux par l’occupant. La recherche fait sienne la position de la HJC selon laquelle le droit de l’occupation est guidé par une logique interne tenant compte de la balance des intérêts en cause, en l’occurrence le besoin de sécurité de l’occupant, d’une part, et les droits fondamentaux de l’occupé, d’autre part. Elle considère, en outre, que cette logique se voit reflétée dans les principes normatifs constituant la base de ce corpus juridique, soit que l’occupation est par sa nature temporaire, que de l’occupation découle un rapport de fiduciaire et, finalement, que l’occupant n’acquiert point de souveraineté sur le territoire. Ainsi, la deuxième question qui est posée est de savoir si l’interprétation du droit par la Cour (HCJ) a eu pour effet de promouvoir ces principes normatifs ou, au contraire, de leur porter préjudice. La réunion de plusieurs facteurs, à savoir la durée prolongée de l’occupation de la Cisjordanie par Israël, la menace accrue à la sécurité depuis 2000 ainsi qu’une politique de colonisation israélienne active, soutenue par l’État, présentent un cas de figure unique pour vérifier l’hypothèse selon laquelle les tribunaux nationaux des États démocratiques, généralement, et ceux jouant le rôle de la plus haute instance judiciaire d’une puissance occupante, spécifiquement, parviennent à assurer la protection des droits et libertés fondamentaux et de la primauté du droit au niveau international. Le premier chapitre présente une étude, à la lumière du premier principe normatif énoncé ci-haut, des jugements rendus par la HCJ dans les dossiers contestant la légalité de la construction du mur à l’intérieur de la Cisjordanie et de la zone dite fermée (Seam Zone), ainsi que des zones de sécurité spéciales entourant les colonies. Le deuxième chapitre analyse, cette fois à la lumière du deuxième principe normatif, des jugements dans les dossiers mettant en cause des restrictions sur les déplacements imposées aux Palestiniens dans le but allégué de protéger la sécurité des colonies et/ou des colons. Le troisième chapitre jette un regard sur les jugements rendus dans les dossiers mettant en cause la légalité du tracé du mur à l’intérieur et sur le pourtour du territoire annexé de Jérusalem-Est. Les conclusions découlant de cette recherche se fondent sur des données tirées d’entrevues menées auprès d’avocats israéliens qui s’adressent régulièrement à la HCJ pour le compte de justiciables palestiniens.

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This dissertation presents the design of three high-performance successive-approximation-register (SAR) analog-to-digital converters (ADCs) using distinct digital background calibration techniques under the framework of a generalized code-domain linear equalizer. These digital calibration techniques effectively and efficiently remove the static mismatch errors in the analog-to-digital (A/D) conversion. They enable aggressive scaling of the capacitive digital-to-analog converter (DAC), which also serves as sampling capacitor, to the kT/C limit. As a result, outstanding conversion linearity, high signal-to-noise ratio (SNR), high conversion speed, robustness, superb energy efficiency, and minimal chip-area are accomplished simultaneously. The first design is a 12-bit 22.5/45-MS/s SAR ADC in 0.13-μm CMOS process. It employs a perturbation-based calibration based on the superposition property of linear systems to digitally correct the capacitor mismatch error in the weighted DAC. With 3.0-mW power dissipation at a 1.2-V power supply and a 22.5-MS/s sample rate, it achieves a 71.1-dB signal-to-noise-plus-distortion ratio (SNDR), and a 94.6-dB spurious free dynamic range (SFDR). At Nyquist frequency, the conversion figure of merit (FoM) is 50.8 fJ/conversion step, the best FoM up to date (2010) for 12-bit ADCs. The SAR ADC core occupies 0.06 mm2, while the estimated area the calibration circuits is 0.03 mm2. The second proposed digital calibration technique is a bit-wise-correlation-based digital calibration. It utilizes the statistical independence of an injected pseudo-random signal and the input signal to correct the DAC mismatch in SAR ADCs. This idea is experimentally verified in a 12-bit 37-MS/s SAR ADC fabricated in 65-nm CMOS implemented by Pingli Huang. This prototype chip achieves a 70.23-dB peak SNDR and an 81.02-dB peak SFDR, while occupying 0.12-mm2 silicon area and dissipating 9.14 mW from a 1.2-V supply with the synthesized digital calibration circuits included. The third work is an 8-bit, 600-MS/s, 10-way time-interleaved SAR ADC array fabricated in 0.13-μm CMOS process. This work employs an adaptive digital equalization approach to calibrate both intra-channel nonlinearities and inter-channel mismatch errors. The prototype chip achieves 47.4-dB SNDR, 63.6-dB SFDR, less than 0.30-LSB differential nonlinearity (DNL), and less than 0.23-LSB integral nonlinearity (INL). The ADC array occupies an active area of 1.35 mm2 and dissipates 30.3 mW, including synthesized digital calibration circuits and an on-chip dual-loop delay-locked loop (DLL) for clock generation and synchronization.

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Cette thèse examine l’interprétation et l’application, par l’Haute Cour d'Israël (HCJ), de principes du droit international de l’occupation et du droit international des droits de la personne dans le traitement de requêtes judiciaires formulées par des justiciables palestiniens. Elle s’intéresse plus particulièrement aux jugements rendus depuis le déclenchement de la deuxième Intifada (2000) suite à des requêtes mettant en cause la légalité des mesures adoptées par les autorités israéliennes au nom d’un besoin prétendu d’accroitre la sécurité des colonies et des colons israéliens dans le territoire occupé de la Cisjordanie. La première question sous étude concerne la mesure dans laquelle la Cour offre un recours effectif aux demandeurs palestiniens face aux violations alléguées de leurs droits internationaux par l’occupant. La recherche fait sienne la position de la HJC selon laquelle le droit de l’occupation est guidé par une logique interne tenant compte de la balance des intérêts en cause, en l’occurrence le besoin de sécurité de l’occupant, d’une part, et les droits fondamentaux de l’occupé, d’autre part. Elle considère, en outre, que cette logique se voit reflétée dans les principes normatifs constituant la base de ce corpus juridique, soit que l’occupation est par sa nature temporaire, que de l’occupation découle un rapport de fiduciaire et, finalement, que l’occupant n’acquiert point de souveraineté sur le territoire. Ainsi, la deuxième question qui est posée est de savoir si l’interprétation du droit par la Cour (HCJ) a eu pour effet de promouvoir ces principes normatifs ou, au contraire, de leur porter préjudice. La réunion de plusieurs facteurs, à savoir la durée prolongée de l’occupation de la Cisjordanie par Israël, la menace accrue à la sécurité depuis 2000 ainsi qu’une politique de colonisation israélienne active, soutenue par l’État, présentent un cas de figure unique pour vérifier l’hypothèse selon laquelle les tribunaux nationaux des États démocratiques, généralement, et ceux jouant le rôle de la plus haute instance judiciaire d’une puissance occupante, spécifiquement, parviennent à assurer la protection des droits et libertés fondamentaux et de la primauté du droit au niveau international. Le premier chapitre présente une étude, à la lumière du premier principe normatif énoncé ci-haut, des jugements rendus par la HCJ dans les dossiers contestant la légalité de la construction du mur à l’intérieur de la Cisjordanie et de la zone dite fermée (Seam Zone), ainsi que des zones de sécurité spéciales entourant les colonies. Le deuxième chapitre analyse, cette fois à la lumière du deuxième principe normatif, des jugements dans les dossiers mettant en cause des restrictions sur les déplacements imposées aux Palestiniens dans le but allégué de protéger la sécurité des colonies et/ou des colons. Le troisième chapitre jette un regard sur les jugements rendus dans les dossiers mettant en cause la légalité du tracé du mur à l’intérieur et sur le pourtour du territoire annexé de Jérusalem-Est. Les conclusions découlant de cette recherche se fondent sur des données tirées d’entrevues menées auprès d’avocats israéliens qui s’adressent régulièrement à la HCJ pour le compte de justiciables palestiniens.

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The thermal decomposition of natural ammonium oxalate known as oxammite has been studied using a combination of high resolution thermogravimetry coupled to an evolved gas mass spectrometer and Raman spectroscopy coupled to a thermal stage. Three mass loss steps were found at 57, 175 and 188°C attributed to dehydration, ammonia evolution and carbon dioxide evolution respectively. Raman spectroscopy shows two bands at 3235 and 3030 cm-1 attributed to the OH stretching vibrations and three bands at 2995, 2900 and 2879 cm-1, attributed to the NH vibrational modes. The thermal degradation of oxammite may be followed by the loss of intensity of these bands. No intensity remains in the OH stretching bands at 100°C and the NH stretching bands show no intensity at 200°C. Multiple CO symmetric stretching bands are observed at 1473, 1454, 1447 and 1431cm-1, suggesting that the mineral oxammite is composed of a mixture of chemicals including ammonium oxalate dihydrate, ammonium oxalate monohydrate and anhydrous ammonium oxalate.

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Two dimensional flow of a micropolar fluid in a porous channel is investigated. The flow is driven by suction or injection at the channel walls, and the micropolar model due to Eringen is used to describe the working fluid. An extension of Berman's similarity transform is used to reduce the governing equations to a set of non-linear coupled ordinary differential equations. The latter are solved for large mass transfer via a perturbation analysis where the inverse of the cross-flow Reynolds number is used as the perturbing parameter. Complementary numerical solutions for strong injection are also obtained using a quasilinearisation scheme, and good agreement is observed between the solutions obtained from the perturbation analysis and the computations.

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