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The Penrose effect, or the limitation of the growth rate during expansion due to managerial constraints, has been examined in the context of business diversification, withdrawal and MNE’s foreign direct investment, primarily in the for-profit sector. However, insufficient attention has been paid to its impact on professional service firms, particularly in the context of their expansion through service exports. The main purpose of this study is to examine the Penrose effect in the internationalization of professional service firms through service exports.

This study focuses on large Japanese patent firms as traditional professional service firms and constructs panel data for 48 large patent firms over the observation period from 2002 to 2010 to test our hypotheses.

Our results demonstrate a negative relationship between degree of internationalization and international business growth, thus confirming the Penrose effect. Furthermore, we found that the degree of internationalization has a curvilinear relationship with international business growth and that institutional distance does not have a negatively moderating effect on the relationship between the degree of internationalization and international business growth.

This study made a theoretical contribution to Penrose's growth theory and previous studies on international management and professional service firms and international management by showing that the Penrose effect can be observed in the international expansion of professional service firms through service exports. Moreover, this study identifies the factors that modify the Penrose effect, thereby making a significant theoretical contribution.

The purpose of the study was to gather data to determine whether instructional coaching partnerships can improve teachers’ implementation of learned mathematics instructional strategies. Teachers are willing to learn and implement new mathematics strategies after professional development sessions to see better student learning results. However, the implementation process can become difficult. Our purpose was to determine whether implementing mathematics strategies improved if an instructional coaching partnership supported teachers.

“Do instructional coaching partnerships improve teachers’ implementation of mathematics instructional strategies?” We gathered data to determine whether instructional coaching partnerships support teachers’ capacity to implement new learning. Data were collected using video recording or classroom observation as a pre- and post-assessment. Teachers received 4 to 6 weeks of instructional coaching support during the intervention. Teachers completed a questionnaire about their intervention experiences. Student testing data were also analyzed to determine whether the intervention increased learning outcomes.

Our findings showed improved mathematics strategies, explicitly implementing the open-ended questioning strategy used during mathematics instruction. Open-ended questions to check students’ mathematics understanding increased by 42%. Teachers responded to a qualitative survey and stated overall satisfaction with the support provided by the instructional coach. Additionally, state testing scores in Grades 3 to 5 increased proficiency levels. Grade-level growth comparisons increased between 5 and 28%.

This study adds to current research stating that instructional coaching cycles and the implementation of partnership principles can positively support the execution of learned teaching practices. The study also indicates the effects of coaching support on students’ learning.