<?xml version="1.0" encoding="US-ASCII" ?>
    <!-- Field: Doc-Info; Name: Generator; Value: GoFiler Complete; Version: 6.5b -->
    <!-- Field: Doc-Info; Name: VendorURI; Value: https://www.novaworks.com -->
    <!-- Field: Doc-Info; Name: Status; Value: 0x00000000 -->
    <!-- Field: Doc-Info; Name: Misc; Value: +6spw7xRiXhun8uCbn1MSa+BubP9w5dzKelBtm99HQnKjywisK/jGS7JA7/GIYQC -->
<schema xmlns="http://www.w3.org/2001/XMLSchema" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:ptf="http://peartreefunds.com/20260331" elementFormDefault="qualified" targetNamespace="http://peartreefunds.com/20260331">
    <annotation>
      <appinfo>
        <link:linkbaseRef xlink:type="simple" xlink:href="ptf-20260331_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Presentation Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ptf-20260331_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Label Links" />
        <link:linkbaseRef xlink:type="simple" xlink:href="ptf-20260331_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:title="Definition Links" />
      </appinfo>
    </annotation>
    <import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
    <import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
    <import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd" />
    <import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd" />
    <import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd" />
    <import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd" />
    <import namespace="http://xbrl.sec.gov/oef/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-2025.xsd" />
    <import namespace="http://xbrl.sec.gov/oef-sr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-sr-2025.xsd" />
    <import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd" />
    <import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd" />
    <import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd" />
    <element id="ptf_C000025972Member" name="C000025972Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_Russell2000OneMember" name="Russell2000OneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SandP500TotalReturnIndexMember" name="SandP500TotalReturnIndexMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000025973Member" name="C000025973Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_Russell2000Member" name="Russell2000Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SandP500TotalReturnIndexOneMember" name="SandP500TotalReturnIndexOneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000177799Member" name="C000177799Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000025969Member" name="C000025969Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000025970Member" name="C000025970Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000177798Member" name="C000177798Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000227703Member" name="C000227703Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000227702Member" name="C000227702Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000227704Member" name="C000227704Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000025966Member" name="C000025966Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000025967Member" name="C000025967Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000177797Member" name="C000177797Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000063163Member" name="C000063163Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000063164Member" name="C000063164Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000177800Member" name="C000177800Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000209789Member" name="C000209789Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000209788Member" name="C000209788Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_C000209787Member" name="C000209787Member" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_CashandOtherAssetsNetSectorMember" name="CashandOtherAssetsNetSectorMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_LaureateEducationIncMember" name="LaureateEducationIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_LantheusHoldingsIncMember" name="LantheusHoldingsIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_NortheastBancorpMember" name="NortheastBancorpMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_InglesMarketsIncMember" name="InglesMarketsIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_TheBankofNTButterfieldandSonLimitedMember" name="TheBankofNTButterfieldandSonLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_V2XIncMember" name="V2XIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_BlackHillsCorporationMember" name="BlackHillsCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_BOKFinancialCorporationMember" name="BOKFinancialCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SouthPlainsFinancialIncMember" name="SouthPlainsFinancialIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_PerdoceoEducationCorporationMember" name="PerdoceoEducationCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MicrosoftCorporationMember" name="MicrosoftCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_AlphabetIncClassAMember" name="AlphabetIncClassAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MetaPlatformsIncMember" name="MetaPlatformsIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_TaiwanSemiconductorManufacturingCoLtdMember" name="TaiwanSemiconductorManufacturingCoLtdMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_AppleIncMember" name="AppleIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_JohnsonandJohnsonMember" name="JohnsonandJohnsonMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_LamResearchCorporationMember" name="LamResearchCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_AmazoncomIncMember" name="AmazoncomIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_ThermoFisherScientificIncMember" name="ThermoFisherScientificIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_AccenturePlcMember" name="AccenturePlcMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_InfineonTechnologiesAGMember" name="InfineonTechnologiesAGMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_CortevaIncMember" name="CortevaIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_BadgerMeterIncMember" name="BadgerMeterIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_KingspanGroupplcMember" name="KingspanGroupplcMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_AdvancedDrainageSystemsIncMember" name="AdvancedDrainageSystemsIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_EnphaseEnergyIncMember" name="EnphaseEnergyIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_PrimorisServicesCorporationMember" name="PrimorisServicesCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_KeyenceCorporationMember" name="KeyenceCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_TorayIndustriesIncMember" name="TorayIndustriesIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_CognexCorporationMember" name="CognexCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SKHynixIncMember" name="SKHynixIncMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SamsungElectronicsCompanyLimitedMember" name="SamsungElectronicsCompanyLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MarubeniCorporationMember" name="MarubeniCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_TotalEnergiesSEMember" name="TotalEnergiesSEMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_EndesaSAMember" name="EndesaSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_BarryCallebautAGMember" name="BarryCallebautAGMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_JazzPharmaceuticalsplcMember" name="JazzPharmaceuticalsplcMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_KoninklijkeAholdDelhaizeNVMember" name="KoninklijkeAholdDelhaizeNVMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_DNBBankASAMember" name="DNBBankASAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_ORIXCorporationMember" name="ORIXCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_EquatorialEnergiaSAMember" name="EquatorialEnergiaSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_DIeterenSAMember" name="DIeterenSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_RubisMember" name="RubisMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_KrungthaiCardPublicCompanyLimitedMember" name="KrungthaiCardPublicCompanyLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_RedesEnergeticasNacionaisSGPSSAMember" name="RedesEnergeticasNacionaisSGPSSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_TISCOFinancialGroupMember" name="TISCOFinancialGroupMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_ElisSAMember" name="ElisSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_IpsosMember" name="IpsosMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MizuhoLeasingCompanyLimitedMember" name="MizuhoLeasingCompanyLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_GlanbiaplcMember" name="GlanbiaplcMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SOLSpaMember" name="SOLSpaMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_CranswickplcMember" name="CranswickplcMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_KingboardLaminatesHoldingsLtdMember" name="KingboardLaminatesHoldingsLtdMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SparebankenNorgeMember" name="SparebankenNorgeMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_YageoCorporationMember" name="YageoCorporationMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_ChaileaseHoldingCoLtdMember" name="ChaileaseHoldingCoLtdMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MacquarieGroupLimitedMember" name="MacquarieGroupLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_JACRecruitmentCoLtdMember" name="JACRecruitmentCoLtdMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_VSTECSHoldingsLimitedMember" name="VSTECSHoldingsLimitedMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_SandP500TotalReturnIndexTwoMember" name="SandP500TotalReturnIndexTwoMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIFAFEMember" name="MSCIFAFEMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIFAFEOneMember" name="MSCIFAFEOneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIACWIExUSASmallCapMember" name="MSCIACWIExUSASmallCapMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIACWIExUSAMember" name="MSCIACWIExUSAMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIACWIExUSASmallCapOneMember" name="MSCIACWIExUSASmallCapOneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIACWIExUSAOneMember" name="MSCIACWIExUSAOneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIWorldMember" name="MSCIWorldMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIWorldOneMember" name="MSCIWorldOneMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
    <element id="ptf_MSCIACWIExUSATwoMember" name="MSCIACWIExUSATwoMember" abstract="true" nillable="true" xbrli:periodType="duration" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" />
</schema>
