• International Journal of Internet, Broadcasting and Communication
• /
• 제12권2호
• /
• pp.15-20
• /
• 2020

The objectives of this study were to compare unimanual, symmetrical and reciprocal movement of transportation. Nineteen participants with post-stroke hemiparesis were involved in this study. We used the Fitmeter accelerometer to measure the dependent variables: signal vector magnitude, peak acceleration and peak deceleration. With respect to the hand and arm, intensity of unimanual movement was higher than that of symmetrical movement, and reciprocal movement was greater than that of symmetrical movement. With regard to the trunk, intensity of unimanual movement was lower than that of symmetrical movement, and within bimanual movement, reciprocal movement was greater than that of symmetrical movement. In conclusion, reciprocal movement would facilitate upper extremity movement and decrease the compensatory movement of trunk more than would symmetrical movement.

• The Mathematical Education
• /
• 제52권3호
• /
• pp.423-442
• /
• 2013

The purpose of the study was to examine the effects of the reciprocal peer tutoring in high school students' affective characteristics with respect to mathematics. The study was conducted with 111 first graders in one high school located in Gyeonggi-do, and the study lasted for 1 year in regular mathematics classrooms. According to the results, reciprocal peer tutoring was very effective in improving students' interest and self-efficacy toward mathematics and reducing mathematics anxiety. Especially, in high and low performing student groups, there were statistically significant improvements in affective factors such as interest, self-efficacy toward mathematics, and mathematics anxiety after reciprocal peer tutoring. However, average performing student group showed statistically significant improvements in affective factors of interest and self-efficacy toward mathematics.

• Structural Engineering and Mechanics
• /
• 제46권4호
• /
• pp.533-547
• /
• 2013

"Reciprocal Frame" refers to a self-supporting grid structure used both for floor and roof. Using Finite Element Methods for non-linear solid mechanics and frictional-contact, this paper intends to analytically and numerically investigate the collapse behaviour of a reciprocal frame structure made of fibre-reinforced concrete. Considering a simple 3-beam structure, it has been investigated using a solid finite element model. Once defined the collapse behaviour of the simple structure, the analysis has been generalized using a concentrated plasticity finite element method. Results provided will be useful for studying generic reciprocal frame structures with several beams.

• Journal of the Chungcheong Mathematical Society
• /
• 제23권4호
• /
• pp.731-739
• /
• 2010

In this paper, we prove stability of the reciprocal difference functional equation $$r\(\frac{{\sum}_{i=1}^{m}x_i}{m}\)-r\(\sum_{i=1}^{m}x_i\)=\frac{(m-1){\prod}_{i=1}^{m}r(x_i)}{{\sum}_{i=1}^{m}{\prod}_{k{\neq}i,1{\leq}k{\leq}m}r(x_k)$$ and the reciprocal adjoint functional equation $$r\(\frac{{\sum}_{i=1}^{m}x_i}{m}\)+r\(\sum_{i=1}^{m}x_i\)=\frac{(m+1){\prod}_{i=1}^{m}r(x_i)}{{\sum}_{i=1}^{m}{\prod}_{k{\neq}i,1{\leq}k{\leq}m}r(x_k)$$ in m-variables. Stability of the reciprocal difference functional equation and the reciprocal adjoint functional equation in two variables were proved by K. Ravi, J. M. Rassias and B. V. Senthil Kumar [13]. We extend their result to m-variables in similar types.

• Honam Mathematical Journal
• /
• 제46권1호
• /
• pp.120-135
• /
• 2024

A normalized analytic function f, defined on the unit disk 𝔻, is starlike of reciprocal order α > 1 if the real part of f(z)/(zf'(z)) is less than α for all z ∈ 𝔻. By utilizing the theory of differential subordination, we establish several sufficient conditions for analytic functions defined on 𝔻 to be starlike of reciprocal order. Additionally, we investigate the conditions under which the function f(z)/(zf'(z)) is subordinate to the function 1 + (α - 1)z. This subordination, in turn, is sufficient for the function f to be starlike of reciprocal order α > 1.

• Physical Therapy Korea
• /
• 제12권3호
• /
• pp.46-55
• /
• 2005

The purpose of this study was to evaluate the effect of concurrent and reciprocal isometric contraction and angle of ankle joint on fatigue of concentrically contracting contralateral dorsiflexor and plantar flexor. Seventeen able-bodied subjects participated in the study. Concurrent and reciprocal isometric contraction were performed under three different ankle joint angles (dorsiflexion, neutral position, plantar flexion). During concurrent or reciprocal isometric contraction. fatigue of concentrically contracting contralateral tibialis anterior, gastrocnemius, and soleus was investigated and compared. There was no interaction between different ankle joint angles and direction of isometric contraction (p<.05). No significant differences were found among three different ankle joint angles (p<.05). Contralateral muscle fatigability was lower in reciprocal isometric contraction than that in concurrent isometric contraction (p<.05). Therefore, the findings of this study suggest that reciprocal isometric contraction is more beneficial than concurrent isometric contraction inducing less fatigability during contralateral concentric contraction.

• The Journal of Korean Physical Therapy
• /
• 제25권4호
• /
• pp.180-186
• /
• 2013

Purpose: This study was to find a correlation between the bilateral reciprocal leg press test and a the balance in chronic stroke patients. Methods: Eighteen patients performed an isokinetic leg press test consisting of a bilateral reciprocal and unilateral mode. Following the isokinetic leg press testing, subjects performed the balance test: Berg Balance Scale (BBS), Timed Up & Go (TUG) test, and stability limit. Pearson product moment correlation coefficients were used to determine the correlation between the mean score of the isokinetic leg press test, balance test in both affected and non-affected side. Results: This study indicated a significant correlation between the bilateral reciprocal leg press test and stability limit. There were significant correlation between non-affected side bilateral leg press(NBL) and BBS (r=0.501), affected side bilateral leg press (ABL) and non-affected side stability limit(NS) (r=0.614), ABL and total stability limit (TS) (r=0.493), NBL and affected side stability limit(AS) (r=0.480), NBL and NS (r=0.560), NBL and TS (r=0.563), among the patients. Conclusion: Measurement of the lower extremity strength using the bilateral reciprocal leg press test can be used as an evaluating tool of the balance test.

• The Mathematical Education
• /
• 제53권2호
• /
• pp.263-274
• /
• 2014

The purposes of the study are to investigate the effects on academic achievement and satisfaction of the reciprocal peer tutoring in university calculus. First, we classified the test group and the control group and then applied the reciprocal peer tutoring to the test group. According to results, the reciprocal peer tutoring is very effective in improving academic achievement. Second, the pre-survey and the post-survey were conducted to the test group. The survey contains five categories including 1) background of the participants, 2) learning objectives and expectation, 3) the intention of the continual learning Mathematics, 4) the individual self-efficacy, and 5) general Mathematics learning satisfaction. We found some facts from the difference between the pre and post surveys. The learning satisfaction has improved after the reciprocal peer tutoring in the test group. Even though this trend has not changed regardless of sex, high school levels and teaching understanding.

• The Journal of Korean Association of Computer Education
• /
• 제16권3호
• /
• pp.61-70
• /
• 2013

In order to increase students' academic achievement effectively and at the same time to draw active participations from students during the computer lab, we applied the reciprocal peer tutoring education model. We focused on a short-term application of the reciprocal peer tutoring to computer operating system lab education with as little preparation as possible. 61 college students majoring in computer engineering participated in this research; half of them studied in the reciprocal peer tutoring setting, and rest of them did in the normal lab setting. Results show that students who participated in the reciprocal peering tutoring lab have higher academic achievement and better satisfaction on overall education and the class's professor. We hope that our method will be easily used in other universities' computer lab education.

• Communications of Mathematical Education
• /
• 제37권3호
• /
• pp.393-417
• /
• 2023

The necessity of this study was to improve academic achievement and math attitudes through leveled reciprocal peer learning, and the specific purpose was as follows. First, each unit seeks to select learning methods and contents for each level of class for reciprocal peer learning, second, develop activity sites for each level through curriculum analysis, and third, improve academic achievement and math attitudes through classes that apply reciprocal peer learning activities. The study was conducted on 60 second graders of 00 High School in 00 Metropolitan City. Two classes were selected for the midterm exam results for the first semester of the second grade. Class 1 was divided into the experimental group and the other class 1 was divided into the comparative group, and 13 classes were conducted for about 2 months from May 1 to July 4, 2020. The experimental group (30 students) was a class that applied leveled reciprocal peer learning activities, and the comparative group (30 students) was a class that was taught based on traditional textbooks. As a result of this study, first, in this study, it was possible to improve academic achievement and math attitudes by setting learning contents for each unit and applying reciprocal peer learning activities for each level. Second, the experimental group taught by applying leveled reciprocal peer learning activities was effective in academic achievement and math attitudes compared to the comparative group taught based on traditional textbooks to students in the upper, middle, and lower groups. Third, in the class applying leveled reciprocal peer learning activities, low-level students who were neglected in math classes were also interested in the class and actively participated in it, showing improvement.